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Finding the Fourth Proportional to 378,462.38, 567,803.15 and 112,229.31

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Solution

The fourth proportional to 378,462.38, 567,803.15 and 112,229.31 is: 168,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,462.38 : 567,803.15 = 112,229.31 : x
  2. Step 2: Convert to fraction form
    378,462.38/567,803.15 = 112,229.31/x
  3. Step 3: Cross multiply
    378,462.38x = 567,803.15 × 112,229.31
  4. Step 4: Simplify right side
    378,462.38x = 63,724,157,729.30
  5. Step 5: Solve for x
    x = 63,724,157,729.30/378,462.38
  6. Step 6: Final answer
    x = 168,376.47

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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.