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Finding the Fourth Proportional to 408,834.20, 613,008.30 and 251,175.80

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Solution

The fourth proportional to 408,834.20, 613,008.30 and 251,175.80 is: 376,614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,834.20 : 613,008.30 = 251,175.80 : x
  2. Step 2: Convert to fraction form
    408,834.20/613,008.30 = 251,175.80/x
  3. Step 3: Cross multiply
    408,834.20x = 613,008.30 × 251,175.80
  4. Step 4: Simplify right side
    408,834.20x = 153,972,850,159.14
  5. Step 5: Solve for x
    x = 153,972,850,159.14/408,834.20
  6. Step 6: Final answer
    x = 376,614.41

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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.