commensurately vs rightfully

commensurately

adv
  • In a commensurate manner; so as to be equal or proportionate. 

  • With equal measure or extent. 

rightfully

adv
  • In accordance with what is right or just; fairly. 

  • Rightly, correctly. 

How often have the words commensurately and rightfully occurred in a corpus of books? (source: Google Ngram Viewer )