Although intermetallics with a B2-type crystal structure are typically brittle, a class of B2 intermetallics that demonstrates unusually high ductility has been reported. A set of recently developed B2-like quaternary precious metal-rare earth alloys also includes compositions with significant ductility. To predict ductility in these systems, we have adapted a computational energy-based metric based on slip systems and relative stability of planar defects, developed to predict ductility in B2 binary systems, for use with quaternary B2-like alloys. The computational metric successfully predicts the experimentally-determined ductility or brittleness of 15 B2-like quaternary precious metal-rare earth and refractory alloys.