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Finding the Fourth Proportional to 410,434.29, 615,648.20 and 220,983.39

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Solution

The fourth proportional to 410,434.29, 615,648.20 and 220,983.39 is: 331,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,434.29 : 615,648.20 = 220,983.39 : x
  2. Step 2: Convert to fraction form
    410,434.29/615,648.20 = 220,983.39/x
  3. Step 3: Cross multiply
    410,434.29x = 615,648.20 × 220,983.39
  4. Step 4: Simplify right side
    410,434.29x = 136,048,025,178.48
  5. Step 5: Solve for x
    x = 136,048,025,178.48/410,434.29
  6. Step 6: Final answer
    x = 331,473.34

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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.