View Photo Gallery: Lake Braddock junior center Natalie Butler has size (she’s 6 feet 4) and pedigree (she’s the daughter of former Navy star Vernon Butler). She’s worked hard to develop the basketball skills to match.

Lake Braddock rising senior Natalie Butler committed to Georgetown on Saturday, booking the next step on her quick rise from part-time player to one of the area’s top centers.

The 6-foot-4 Butler, daughter of former Navy star Vernon Butler, averaged 18.7 points and 18.5 rebounds per game for the Bruins last season after averaging just 4.9 points as a sophomore. Butler’s growth was documented in a feature story in The Post in February.

“I never pictured myself going to a school like Georgetown, [Division I], playing for a Big East team,” Natalie Butler said. “It’s something that didn’t occur in my wildest dreams. I’m living a fairy tale almost. I am so excited about working harder and growing as a player at Georgetown.”

Butler, an honorable mention All-Met last season, chose Georgetown over Virginia Tech, James Madison and Delaware. This summer she had also drawn interest from Baylor, Northwestern, Boston College and St. John’s but opted to stay local and shut down the recruiting process.

Lake Braddock went 9-15 last season and lost in the first round of the Virginia AAA Northern Region playoffs to Madison.

At Georgetown, Butler will join two 2011-12 All-Mets, West Springfield forward Logan Battle and St. Mary’s Ryken guard Katie McCormick, who will be freshmen for the Hoyas this season.

“Their academic program is one of the top programs in the whole entire world, so that was definitely very appealing, and their basketball program is 17th in the nation, it’s a very strong basketball program,” Butler said. “The coaching staff is unbelievable. Coach [Keith] Brown is an amazing coach. . . . I’m looking forward to developing and growing through him.