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Finding the Fourth Proportional to 485,770,862.70, 728,656,294.05 and 240,165,404.55

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Solution

The fourth proportional to 485,770,862.70, 728,656,294.05 and 240,165,404.55 is: 360,248,106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,770,862.70 : 728,656,294.05 = 240,165,404.55 : x
  2. Step 2: Convert to fraction form
    485,770,862.70/728,656,294.05 = 240,165,404.55/x
  3. Step 3: Cross multiply
    485,770,862.70x = 728,656,294.05 × 240,165,404.55
  4. Step 4: Simplify right side
    485,770,862.70x = 174,998,033,638,422,016
  5. Step 5: Solve for x
    x = 174,998,033,638,422,016/485,770,862.70
  6. Step 6: Final answer
    x = 360,248,106.83

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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.