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Finding the Fourth Proportional to 378,500.62, 567,728.64 and 141,823.48

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Solution

The fourth proportional to 378,500.62, 567,728.64 and 141,823.48 is: 212,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,500.62 : 567,728.64 = 141,823.48 : x
  2. Step 2: Convert to fraction form
    378,500.62/567,728.64 = 141,823.48/x
  3. Step 3: Cross multiply
    378,500.62x = 567,728.64 × 141,823.48
  4. Step 4: Simplify right side
    378,500.62x = 80,517,251,420.47
  5. Step 5: Solve for x
    x = 80,517,251,420.47/378,500.62
  6. Step 6: Final answer
    x = 212,726.87

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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.