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Finding the Fourth Proportional to 647,213.64, 971,257.66 and 226,493.16

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Solution

The fourth proportional to 647,213.64, 971,257.66 and 226,493.16 is: 339,892.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,213.64 : 971,257.66 = 226,493.16 : x
  2. Step 2: Convert to fraction form
    647,213.64/971,257.66 = 226,493.16/x
  3. Step 3: Cross multiply
    647,213.64x = 971,257.66 × 226,493.16
  4. Step 4: Simplify right side
    647,213.64x = 219,983,216,587.61
  5. Step 5: Solve for x
    x = 219,983,216,587.61/647,213.64
  6. Step 6: Final answer
    x = 339,892.74

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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.