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Finding the Fourth Proportional to 478,197.38, 659,932.79 and 274,305.80

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Solution

The fourth proportional to 478,197.38, 659,932.79 and 274,305.80 is: 378,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,197.38 : 659,932.79 = 274,305.80 : x
  2. Step 2: Convert to fraction form
    478,197.38/659,932.79 = 274,305.80/x
  3. Step 3: Cross multiply
    478,197.38x = 659,932.79 × 274,305.80
  4. Step 4: Simplify right side
    478,197.38x = 181,023,392,185.49
  5. Step 5: Solve for x
    x = 181,023,392,185.49/478,197.38
  6. Step 6: Final answer
    x = 378,553.71

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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.