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Finding the Fourth Proportional to 309,402.38, 464,235.91 and 129,529.83

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Solution

The fourth proportional to 309,402.38, 464,235.91 and 129,529.83 is: 194,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,402.38 : 464,235.91 = 129,529.83 : x
  2. Step 2: Convert to fraction form
    309,402.38/464,235.91 = 129,529.83/x
  3. Step 3: Cross multiply
    309,402.38x = 464,235.91 × 129,529.83
  4. Step 4: Simplify right side
    309,402.38x = 60,132,399,919.26
  5. Step 5: Solve for x
    x = 60,132,399,919.26/309,402.38
  6. Step 6: Final answer
    x = 194,350.15

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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.