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Finding the Fourth Proportional to 410,147.82, 615,217.89 and 129,665.10

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Solution

The fourth proportional to 410,147.82, 615,217.89 and 129,665.10 is: 194,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,147.82 : 615,217.89 = 129,665.10 : x
  2. Step 2: Convert to fraction form
    410,147.82/615,217.89 = 129,665.10/x
  3. Step 3: Cross multiply
    410,147.82x = 615,217.89 × 129,665.10
  4. Step 4: Simplify right side
    410,147.82x = 79,772,289,228.64
  5. Step 5: Solve for x
    x = 79,772,289,228.64/410,147.82
  6. Step 6: Final answer
    x = 194,496.44

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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.