Source : Webster's Revised Unabridged Dictionary (1913)

Providential \Prov`i*den"tial\, a. [Cf. F. providentiel.]
   Effected by, or referable to, divine direction or
   superintendence; as, the providential contrivance of thing; a
   providential escape. -- {Prov"i*den"tial*ly}, adv.

Source : WordNet®

providentially
     adv 1: in a fortunately providential manner; "providentially the
            weather remained good"
     2: in a providential manner; as determined by providence; "his
        providentially destined role"
     3: in a prudent manner; "I had allotted my own bedroom for
        necking, prudently removing both the bed and the key, and
        taken both myself and my typewriter into my son's
        bedroom." [syn: {prudently}] [ant: {imprudently}]