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Finding the Fourth Proportional to 408,834.10, 613,278.49 and 138,958.30

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Solution

The fourth proportional to 408,834.10, 613,278.49 and 138,958.30 is: 208,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,834.10 : 613,278.49 = 138,958.30 : x
  2. Step 2: Convert to fraction form
    408,834.10/613,278.49 = 138,958.30/x
  3. Step 3: Cross multiply
    408,834.10x = 613,278.49 × 138,958.30
  4. Step 4: Simplify right side
    408,834.10x = 85,220,136,396.97
  5. Step 5: Solve for x
    x = 85,220,136,396.97/408,834.10
  6. Step 6: Final answer
    x = 208,446.74

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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.