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Finding the Fourth Proportional to 408,843.20, 613,021.80 and 251,184.80

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Solution

The fourth proportional to 408,843.20, 613,021.80 and 251,184.80 is: 376,627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,843.20 : 613,021.80 = 251,184.80 : x
  2. Step 2: Convert to fraction form
    408,843.20/613,021.80 = 251,184.80/x
  3. Step 3: Cross multiply
    408,843.20x = 613,021.80 × 251,184.80
  4. Step 4: Simplify right side
    408,843.20x = 153,981,758,228.64
  5. Step 5: Solve for x
    x = 153,981,758,228.64/408,843.20
  6. Step 6: Final answer
    x = 376,627.91

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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.