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Finding the Fourth Proportional to 275,323,432.70, 412,998,872.02 and 78,616,020.90

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Solution

The fourth proportional to 275,323,432.70, 412,998,872.02 and 78,616,020.90 is: 117,927,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,323,432.70 : 412,998,872.02 = 78,616,020.90 : x
  2. Step 2: Convert to fraction form
    275,323,432.70/412,998,872.02 = 78,616,020.90/x
  3. Step 3: Cross multiply
    275,323,432.70x = 412,998,872.02 × 78,616,020.90
  4. Step 4: Simplify right side
    275,323,432.70x = 32,468,327,954,400,748
  5. Step 5: Solve for x
    x = 32,468,327,954,400,748/275,323,432.70
  6. Step 6: Final answer
    x = 117,927,949.82

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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.