Finding the Fourth Proportional to 416,361,787,717.72, 574,367,804,462.60 and 271,930,460,867.28
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Solution
The fourth proportional to 416,361,787,717.72, 574,367,804,462.60 and 271,930,460,867.28 is: 375,125,927,455.99
Step by Step Solution
- Step 1: Write the proportion equation
416,361,787,717.72 : 574,367,804,462.60 = 271,930,460,867.28 : x - Step 2: Convert to fraction form
416,361,787,717.72/574,367,804,462.60 = 271,930,460,867.28/x - Step 3: Cross multiply
416,361,787,717.72x = 574,367,804,462.60 × 271,930,460,867.28 - Step 4: Simplify right side
416,361,787,717.72x = 156,188,101,774,842,580,172,800 - Step 5: Solve for x
x = 156,188,101,774,842,580,172,800/416,361,787,717.72 - Step 6: Final answer
x = 375,125,927,455.99
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.