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Finding the Fourth Proportional to 410,147.32, 615,217.14 and 129,664.60

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Solution

The fourth proportional to 410,147.32, 615,217.14 and 129,664.60 is: 194,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,147.32 : 615,217.14 = 129,664.60 : x
  2. Step 2: Convert to fraction form
    410,147.32/615,217.14 = 129,664.60/x
  3. Step 3: Cross multiply
    410,147.32x = 615,217.14 × 129,664.60
  4. Step 4: Simplify right side
    410,147.32x = 79,771,884,371.24
  5. Step 5: Solve for x
    x = 79,771,884,371.24/410,147.32
  6. Step 6: Final answer
    x = 194,495.69

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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.