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Finding the Fourth Proportional to 410,118.76, 615,174.45 and 129,636.10

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Solution

The fourth proportional to 410,118.76, 615,174.45 and 129,636.10 is: 194,452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,118.76 : 615,174.45 = 129,636.10 : x
  2. Step 2: Convert to fraction form
    410,118.76/615,174.45 = 129,636.10/x
  3. Step 3: Cross multiply
    410,118.76x = 615,174.45 × 129,636.10
  4. Step 4: Simplify right side
    410,118.76x = 79,748,816,517.65
  5. Step 5: Solve for x
    x = 79,748,816,517.65/410,118.76
  6. Step 6: Final answer
    x = 194,452.98

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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.