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Finding the Fourth Proportional to 870,998,335.68, 1,201,170,320.64 and 635,676,254.40

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Solution

The fourth proportional to 870,998,335.68, 1,201,170,320.64 and 635,676,254.40 is: 876,643,983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,998,335.68 : 1,201,170,320.64 = 635,676,254.40 : x
  2. Step 2: Convert to fraction form
    870,998,335.68/1,201,170,320.64 = 635,676,254.40/x
  3. Step 3: Cross multiply
    870,998,335.68x = 1,201,170,320.64 × 635,676,254.40
  4. Step 4: Simplify right side
    870,998,335.68x = 763,555,450,320,882,304
  5. Step 5: Solve for x
    x = 763,555,450,320,882,304/870,998,335.68
  6. Step 6: Final answer
    x = 876,643,983.17

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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.