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Finding the Fourth Proportional to 647,209.66, 971,251.86 and 226,489.18

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Solution

The fourth proportional to 647,209.66, 971,251.86 and 226,489.18 is: 339,886.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,209.66 : 971,251.86 = 226,489.18 : x
  2. Step 2: Convert to fraction form
    647,209.66/971,251.86 = 226,489.18/x
  3. Step 3: Cross multiply
    647,209.66x = 971,251.86 × 226,489.18
  4. Step 4: Simplify right side
    647,209.66x = 219,978,037,344.88
  5. Step 5: Solve for x
    x = 219,978,037,344.88/647,209.66
  6. Step 6: Final answer
    x = 339,886.83

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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.