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Finding the Fourth Proportional to 378,390.32, 567,643.80 and 129,014

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Solution

The fourth proportional to 378,390.32, 567,643.80 and 129,014 is: 193,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,390.32 : 567,643.80 = 129,014 : x
  2. Step 2: Convert to fraction form
    378,390.32/567,643.80 = 129,014/x
  3. Step 3: Cross multiply
    378,390.32x = 567,643.80 × 129,014
  4. Step 4: Simplify right side
    378,390.32x = 73,233,997,213.20
  5. Step 5: Solve for x
    x = 73,233,997,213.20/378,390.32
  6. Step 6: Final answer
    x = 193,540.88

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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.