Alaska is about 3,445 times bigger than Barbados.

Barbados is approximately 430 sq km, while Alaska is approximately 1,481,348 sq km, making Alaska 344,400% larger than Barbados. Meanwhile, the population of Barbados is ~302,674 people (407,557 more people live in Alaska).
Tip: This to-scale comparison of Barbados vs. Alaska uses the Mercator projection, which distorts the size of regions near the poles.