Finding the Fourth Proportional to 416,361,787,715.72, 574,367,804,459.84 and 271,930,460,865.28
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Solution
The fourth proportional to 416,361,787,715.72, 574,367,804,459.84 and 271,930,460,865.28 is: 375,125,927,453.23
Step by Step Solution
- Step 1: Write the proportion equation
416,361,787,715.72 : 574,367,804,459.84 = 271,930,460,865.28 : x - Step 2: Convert to fraction form
416,361,787,715.72/574,367,804,459.84 = 271,930,460,865.28/x - Step 3: Cross multiply
416,361,787,715.72x = 574,367,804,459.84 × 271,930,460,865.28 - Step 4: Simplify right side
416,361,787,715.72x = 156,188,101,772,943,298,658,304 - Step 5: Solve for x
x = 156,188,101,772,943,298,658,304/416,361,787,715.72 - Step 6: Final answer
x = 375,125,927,453.23
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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.