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Finding the Fourth Proportional to 408,943.62, 613,423.62 and 109,423.73

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Solution

The fourth proportional to 408,943.62, 613,423.62 and 109,423.73 is: 164,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,943.62 : 613,423.62 = 109,423.73 : x
  2. Step 2: Convert to fraction form
    408,943.62/613,423.62 = 109,423.73/x
  3. Step 3: Cross multiply
    408,943.62x = 613,423.62 × 109,423.73
  4. Step 4: Simplify right side
    408,943.62x = 67,123,097,503.38
  5. Step 5: Solve for x
    x = 67,123,097,503.38/408,943.62
  6. Step 6: Final answer
    x = 164,137.78

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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.