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Finding the Fourth Proportional to 512,134.20, 768,431.70 and 179,948.60

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Solution

The fourth proportional to 512,134.20, 768,431.70 and 179,948.60 is: 270,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,134.20 : 768,431.70 = 179,948.60 : x
  2. Step 2: Convert to fraction form
    512,134.20/768,431.70 = 179,948.60/x
  3. Step 3: Cross multiply
    512,134.20x = 768,431.70 × 179,948.60
  4. Step 4: Simplify right side
    512,134.20x = 138,278,208,610.62
  5. Step 5: Solve for x
    x = 138,278,208,610.62/512,134.20
  6. Step 6: Final answer
    x = 270,003.86

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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.