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Finding the Fourth Proportional to 408,829.20, 613,000.80 and 251,170.80

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Solution

The fourth proportional to 408,829.20, 613,000.80 and 251,170.80 is: 376,606.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,829.20 : 613,000.80 = 251,170.80 : x
  2. Step 2: Convert to fraction form
    408,829.20/613,000.80 = 251,170.80/x
  3. Step 3: Cross multiply
    408,829.20x = 613,000.80 × 251,170.80
  4. Step 4: Simplify right side
    408,829.20x = 153,967,901,336.64
  5. Step 5: Solve for x
    x = 153,967,901,336.64/408,829.20
  6. Step 6: Final answer
    x = 376,606.91

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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.