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Finding the Fourth Proportional to 408,845.20, 613,024.80 and 251,186.80

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Solution

The fourth proportional to 408,845.20, 613,024.80 and 251,186.80 is: 376,630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,845.20 : 613,024.80 = 251,186.80 : x
  2. Step 2: Convert to fraction form
    408,845.20/613,024.80 = 251,186.80/x
  3. Step 3: Cross multiply
    408,845.20x = 613,024.80 × 251,186.80
  4. Step 4: Simplify right side
    408,845.20x = 153,983,737,832.64
  5. Step 5: Solve for x
    x = 153,983,737,832.64/408,845.20
  6. Step 6: Final answer
    x = 376,630.91

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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.