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Finding the Fourth Proportional to 647,189.52, 971,221.68 and 226,469.04

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Solution

The fourth proportional to 647,189.52, 971,221.68 and 226,469.04 is: 339,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,189.52 : 971,221.68 = 226,469.04 : x
  2. Step 2: Convert to fraction form
    647,189.52/971,221.68 = 226,469.04/x
  3. Step 3: Cross multiply
    647,189.52x = 971,221.68 × 226,469.04
  4. Step 4: Simplify right side
    647,189.52x = 219,951,641,496.79
  5. Step 5: Solve for x
    x = 219,951,641,496.79/647,189.52
  6. Step 6: Final answer
    x = 339,856.62

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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.