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Finding the Fourth Proportional to 378,147.76, 567,219.60 and 218,119.97

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Solution

The fourth proportional to 378,147.76, 567,219.60 and 218,119.97 is: 327,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,147.76 : 567,219.60 = 218,119.97 : x
  2. Step 2: Convert to fraction form
    378,147.76/567,219.60 = 218,119.97/x
  3. Step 3: Cross multiply
    378,147.76x = 567,219.60 × 218,119.97
  4. Step 4: Simplify right side
    378,147.76x = 123,721,923,553.46
  5. Step 5: Solve for x
    x = 123,721,923,553.46/378,147.76
  6. Step 6: Final answer
    x = 327,178.78

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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.