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Finding the Fourth Proportional to 410,147.26, 615,217.20 and 129,664.60

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Solution

The fourth proportional to 410,147.26, 615,217.20 and 129,664.60 is: 194,495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,147.26 : 615,217.20 = 129,664.60 : x
  2. Step 2: Convert to fraction form
    410,147.26/615,217.20 = 129,664.60/x
  3. Step 3: Cross multiply
    410,147.26x = 615,217.20 × 129,664.60
  4. Step 4: Simplify right side
    410,147.26x = 79,771,892,151.12
  5. Step 5: Solve for x
    x = 79,771,892,151.12/410,147.26
  6. Step 6: Final answer
    x = 194,495.73

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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.