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Finding the Fourth Proportional to 378,171.72, 567,097.20 and 141,348.78

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Solution

The fourth proportional to 378,171.72, 567,097.20 and 141,348.78 is: 211,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,171.72 : 567,097.20 = 141,348.78 : x
  2. Step 2: Convert to fraction form
    378,171.72/567,097.20 = 141,348.78/x
  3. Step 3: Cross multiply
    378,171.72x = 567,097.20 × 141,348.78
  4. Step 4: Simplify right side
    378,171.72x = 80,158,497,361.42
  5. Step 5: Solve for x
    x = 80,158,497,361.42/378,171.72
  6. Step 6: Final answer
    x = 211,963.22

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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.