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Finding the Fourth Proportional to 275,209.92, 412,149.87 and 156,521.43

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Solution

The fourth proportional to 275,209.92, 412,149.87 and 156,521.43 is: 234,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,209.92 : 412,149.87 = 156,521.43 : x
  2. Step 2: Convert to fraction form
    275,209.92/412,149.87 = 156,521.43/x
  3. Step 3: Cross multiply
    275,209.92x = 412,149.87 × 156,521.43
  4. Step 4: Simplify right side
    275,209.92x = 64,510,287,026.71
  5. Step 5: Solve for x
    x = 64,510,287,026.71/275,209.92
  6. Step 6: Final answer
    x = 234,403.93

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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.