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Finding the Fourth Proportional to 378,388.32, 567,640.80 and 129,012

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Solution

The fourth proportional to 378,388.32, 567,640.80 and 129,012 is: 193,537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,388.32 : 567,640.80 = 129,012 : x
  2. Step 2: Convert to fraction form
    378,388.32/567,640.80 = 129,012/x
  3. Step 3: Cross multiply
    378,388.32x = 567,640.80 × 129,012
  4. Step 4: Simplify right side
    378,388.32x = 73,232,474,889.60
  5. Step 5: Solve for x
    x = 73,232,474,889.60/378,388.32
  6. Step 6: Final answer
    x = 193,537.88

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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.