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Finding the Fourth Proportional to 410,434.20, 615,712.86 and 144,147.78

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Solution

The fourth proportional to 410,434.20, 615,712.86 and 144,147.78 is: 216,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,434.20 : 615,712.86 = 144,147.78 : x
  2. Step 2: Convert to fraction form
    410,434.20/615,712.86 = 144,147.78/x
  3. Step 3: Cross multiply
    410,434.20x = 615,712.86 × 144,147.78
  4. Step 4: Simplify right side
    410,434.20x = 88,753,641,886.45
  5. Step 5: Solve for x
    x = 88,753,641,886.45/410,434.20
  6. Step 6: Final answer
    x = 216,243.29

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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.