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Finding the Fourth Proportional to 432,666.38, 649,061.06 and 133,171.91

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Solution

The fourth proportional to 432,666.38, 649,061.06 and 133,171.91 is: 199,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,666.38 : 649,061.06 = 133,171.91 : x
  2. Step 2: Convert to fraction form
    432,666.38/649,061.06 = 133,171.91/x
  3. Step 3: Cross multiply
    432,666.38x = 649,061.06 × 133,171.91
  4. Step 4: Simplify right side
    432,666.38x = 86,436,703,989.70
  5. Step 5: Solve for x
    x = 86,436,703,989.70/432,666.38
  6. Step 6: Final answer
    x = 199,776.80

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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.