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Finding the Fourth Proportional to 382,499.52, 573,354 and 145,778.64

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Solution

The fourth proportional to 382,499.52, 573,354 and 145,778.64 is: 218,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,499.52 : 573,354 = 145,778.64 : x
  2. Step 2: Convert to fraction form
    382,499.52/573,354 = 145,778.64/x
  3. Step 3: Cross multiply
    382,499.52x = 573,354 × 145,778.64
  4. Step 4: Simplify right side
    382,499.52x = 83,582,766,358.56
  5. Step 5: Solve for x
    x = 83,582,766,358.56/382,499.52
  6. Step 6: Final answer
    x = 218,517.31

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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.