Question 391711
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Look for the most restrictive statement:
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>>...the fifth digit is...one-fourth the third digit...<<
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There are only two possibilities for that statement:

A.  the fifth digit is 1 and the third digit is 4 

or

B.  the fifth digit is 2 and the third digit is 8 

However
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>>...The third digit is one-half the first digit...<<
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Therefore 8 is ruled out as the third digit since 16 is not a digit. 
So B is ruled out and we have

8_4_1
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>>...The third digit is...twice the fourth digit.
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So we have

8_421
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>>...The second digit is three times the fourth digit...<<
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So we have

86421

Note: We didn't need to know this piece of information:
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>>...The second digit is...five more than the fifth digit...<<
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Edwin</pre></font></b>