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Finding the Fourth Proportional to 417,819.60, 576,755.64 and 281,934

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Solution

The fourth proportional to 417,819.60, 576,755.64 and 281,934 is: 389,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,819.60 : 576,755.64 = 281,934 : x
  2. Step 2: Convert to fraction form
    417,819.60/576,755.64 = 281,934/x
  3. Step 3: Cross multiply
    417,819.60x = 576,755.64 × 281,934
  4. Step 4: Simplify right side
    417,819.60x = 162,607,024,607.76
  5. Step 5: Solve for x
    x = 162,607,024,607.76/417,819.60
  6. Step 6: Final answer
    x = 389,179.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.