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Finding the Fourth Proportional to 378,391.32, 567,645.30 and 129,015

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Solution

The fourth proportional to 378,391.32, 567,645.30 and 129,015 is: 193,542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,391.32 : 567,645.30 = 129,015 : x
  2. Step 2: Convert to fraction form
    378,391.32/567,645.30 = 129,015/x
  3. Step 3: Cross multiply
    378,391.32x = 567,645.30 × 129,015
  4. Step 4: Simplify right side
    378,391.32x = 73,234,758,379.50
  5. Step 5: Solve for x
    x = 73,234,758,379.50/378,391.32
  6. Step 6: Final answer
    x = 193,542.38

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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.