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Finding the Fourth Proportional to 381,645.60, 572,752.80 and 145,449.60

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Solution

The fourth proportional to 381,645.60, 572,752.80 and 145,449.60 is: 218,282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,645.60 : 572,752.80 = 145,449.60 : x
  2. Step 2: Convert to fraction form
    381,645.60/572,752.80 = 145,449.60/x
  3. Step 3: Cross multiply
    381,645.60x = 572,752.80 × 145,449.60
  4. Step 4: Simplify right side
    381,645.60x = 83,306,665,658.88
  5. Step 5: Solve for x
    x = 83,306,665,658.88/381,645.60
  6. Step 6: Final answer
    x = 218,282.79

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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.