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Finding the Fourth Proportional to 415,305.32, 622,760.70 and 215,425.40

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Solution

The fourth proportional to 415,305.32, 622,760.70 and 215,425.40 is: 323,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,305.32 : 622,760.70 = 215,425.40 : x
  2. Step 2: Convert to fraction form
    415,305.32/622,760.70 = 215,425.40/x
  3. Step 3: Cross multiply
    415,305.32x = 622,760.70 × 215,425.40
  4. Step 4: Simplify right side
    415,305.32x = 134,158,472,901.78
  5. Step 5: Solve for x
    x = 134,158,472,901.78/415,305.32
  6. Step 6: Final answer
    x = 323,035.77

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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.