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Finding the Fourth Proportional to 708,822,691.16, 978,175,491.09 and 391,283,121.56

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Solution

The fourth proportional to 708,822,691.16, 978,175,491.09 and 391,283,121.56 is: 539,970,805.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,822,691.16 : 978,175,491.09 = 391,283,121.56 : x
  2. Step 2: Convert to fraction form
    708,822,691.16/978,175,491.09 = 391,283,121.56/x
  3. Step 3: Cross multiply
    708,822,691.16x = 978,175,491.09 × 391,283,121.56
  4. Step 4: Simplify right side
    708,822,691.16x = 382,743,559,587,425,728
  5. Step 5: Solve for x
    x = 382,743,559,587,425,728/708,822,691.16
  6. Step 6: Final answer
    x = 539,970,805.62

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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.