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Finding the Fourth Proportional to 647,471.60, 971,296.02 and 220,892.90

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Solution

The fourth proportional to 647,471.60, 971,296.02 and 220,892.90 is: 331,369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,471.60 : 971,296.02 = 220,892.90 : x
  2. Step 2: Convert to fraction form
    647,471.60/971,296.02 = 220,892.90/x
  3. Step 3: Cross multiply
    647,471.60x = 971,296.02 × 220,892.90
  4. Step 4: Simplify right side
    647,471.60x = 214,552,394,616.26
  5. Step 5: Solve for x
    x = 214,552,394,616.26/647,471.60
  6. Step 6: Final answer
    x = 331,369.58

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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.