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Finding the Fourth Proportional to 512,132.20, 768,428.70 and 179,946.60

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Solution

The fourth proportional to 512,132.20, 768,428.70 and 179,946.60 is: 270,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,132.20 : 768,428.70 = 179,946.60 : x
  2. Step 2: Convert to fraction form
    512,132.20/768,428.70 = 179,946.60/x
  3. Step 3: Cross multiply
    512,132.20x = 768,428.70 × 179,946.60
  4. Step 4: Simplify right side
    512,132.20x = 138,276,131,907.42
  5. Step 5: Solve for x
    x = 138,276,131,907.42/512,132.20
  6. Step 6: Final answer
    x = 270,000.86

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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.