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Finding the Fourth Proportional to 647,806.60, 970,997.10 and 226,865.80

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Solution

The fourth proportional to 647,806.60, 970,997.10 and 226,865.80 is: 340,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,806.60 : 970,997.10 = 226,865.80 : x
  2. Step 2: Convert to fraction form
    647,806.60/970,997.10 = 226,865.80/x
  3. Step 3: Cross multiply
    647,806.60x = 970,997.10 × 226,865.80
  4. Step 4: Simplify right side
    647,806.60x = 220,286,033,889.18
  5. Step 5: Solve for x
    x = 220,286,033,889.18/647,806.60
  6. Step 6: Final answer
    x = 340,049.07

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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.