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Finding the Fourth Proportional to 708,822,689.85, 978,175,489.28 and 391,283,120.25

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Solution

The fourth proportional to 708,822,689.85, 978,175,489.28 and 391,283,120.25 is: 539,970,803.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,822,689.85 : 978,175,489.28 = 391,283,120.25 : x
  2. Step 2: Convert to fraction form
    708,822,689.85/978,175,489.28 = 391,283,120.25/x
  3. Step 3: Cross multiply
    708,822,689.85x = 978,175,489.28 × 391,283,120.25
  4. Step 4: Simplify right side
    708,822,689.85x = 382,743,557,598,527,040
  5. Step 5: Solve for x
    x = 382,743,557,598,527,040/708,822,689.85
  6. Step 6: Final answer
    x = 539,970,803.81

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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.