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Finding the Fourth Proportional to 647,640.60, 971,288.10 and 226,872.60

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Solution

The fourth proportional to 647,640.60, 971,288.10 and 226,872.60 is: 340,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,640.60 : 971,288.10 = 226,872.60 : x
  2. Step 2: Convert to fraction form
    647,640.60/971,288.10 = 226,872.60/x
  3. Step 3: Cross multiply
    647,640.60x = 971,288.10 × 226,872.60
  4. Step 4: Simplify right side
    647,640.60x = 220,358,656,596.06
  5. Step 5: Solve for x
    x = 220,358,656,596.06/647,640.60
  6. Step 6: Final answer
    x = 340,248.37

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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.