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Finding the Fourth Proportional to 410,308.95, 615,401.86 and 129,789.75

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Solution

The fourth proportional to 410,308.95, 615,401.86 and 129,789.75 is: 194,665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,308.95 : 615,401.86 = 129,789.75 : x
  2. Step 2: Convert to fraction form
    410,308.95/615,401.86 = 129,789.75/x
  3. Step 3: Cross multiply
    410,308.95x = 615,401.86 × 129,789.75
  4. Step 4: Simplify right side
    410,308.95x = 79,872,853,558.94
  5. Step 5: Solve for x
    x = 79,872,853,558.94/410,308.95
  6. Step 6: Final answer
    x = 194,665.15

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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.