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Finding the Fourth Proportional to 419,956.38, 629,488.95 and 206,423.16

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Solution

The fourth proportional to 419,956.38, 629,488.95 and 206,423.16 is: 309,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,956.38 : 629,488.95 = 206,423.16 : x
  2. Step 2: Convert to fraction form
    419,956.38/629,488.95 = 206,423.16/x
  3. Step 3: Cross multiply
    419,956.38x = 629,488.95 × 206,423.16
  4. Step 4: Simplify right side
    419,956.38x = 129,941,098,244.08
  5. Step 5: Solve for x
    x = 129,941,098,244.08/419,956.38
  6. Step 6: Final answer
    x = 309,415.70

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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.