Finding the Fourth Proportional to 392,676,287.97, 541,897,014.56 and 216,470,603.14
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Solution
The fourth proportional to 392,676,287.97, 541,897,014.56 and 216,470,603.14 is: 298,731,492.52
Step by Step Solution
- Step 1: Write the proportion equation
392,676,287.97 : 541,897,014.56 = 216,470,603.14 : x - Step 2: Convert to fraction form
392,676,287.97/541,897,014.56 = 216,470,603.14/x - Step 3: Cross multiply
392,676,287.97x = 541,897,014.56 × 216,470,603.14 - Step 4: Simplify right side
392,676,287.97x = 117,304,773,581,568,544 - Step 5: Solve for x
x = 117,304,773,581,568,544/392,676,287.97 - Step 6: Final answer
x = 298,731,492.52
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.