Finding the Fourth Proportional to 542,746,845.14, 814,211,073.97 and 426,157,497.88
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Solution
The fourth proportional to 542,746,845.14, 814,211,073.97 and 426,157,497.88 is: 639,307,546.67
Step by Step Solution
- Step 1: Write the proportion equation
542,746,845.14 : 814,211,073.97 = 426,157,497.88 : x - Step 2: Convert to fraction form
542,746,845.14/814,211,073.97 = 426,157,497.88/x - Step 3: Cross multiply
542,746,845.14x = 814,211,073.97 × 426,157,497.88 - Step 4: Simplify right side
542,746,845.14x = 346,982,154,026,141,888 - Step 5: Solve for x
x = 346,982,154,026,141,888/542,746,845.14 - Step 6: Final answer
x = 639,307,546.67
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.