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Finding the Fourth Proportional to 478,197.76, 659,933.30 and 274,306.18

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Solution

The fourth proportional to 478,197.76, 659,933.30 and 274,306.18 is: 378,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,197.76 : 659,933.30 = 274,306.18 : x
  2. Step 2: Convert to fraction form
    478,197.76/659,933.30 = 274,306.18/x
  3. Step 3: Cross multiply
    478,197.76x = 659,933.30 × 274,306.18
  4. Step 4: Simplify right side
    478,197.76x = 181,023,781,613.73
  5. Step 5: Solve for x
    x = 181,023,781,613.73/478,197.76
  6. Step 6: Final answer
    x = 378,554.23

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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.