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Finding the Fourth Proportional to 453,047.20, 679,311.60 and 137,456.80

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Solution

The fourth proportional to 453,047.20, 679,311.60 and 137,456.80 is: 206,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,047.20 : 679,311.60 = 137,456.80 : x
  2. Step 2: Convert to fraction form
    453,047.20/679,311.60 = 137,456.80/x
  3. Step 3: Cross multiply
    453,047.20x = 679,311.60 × 137,456.80
  4. Step 4: Simplify right side
    453,047.20x = 93,375,998,738.88
  5. Step 5: Solve for x
    x = 93,375,998,738.88/453,047.20
  6. Step 6: Final answer
    x = 206,106.56

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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.