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Finding the Fourth Proportional to 431,660.22, 647,549.46 and 147,274.49

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Solution

The fourth proportional to 431,660.22, 647,549.46 and 147,274.49 is: 220,931.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,660.22 : 647,549.46 = 147,274.49 : x
  2. Step 2: Convert to fraction form
    431,660.22/647,549.46 = 147,274.49/x
  3. Step 3: Cross multiply
    431,660.22x = 647,549.46 × 147,274.49
  4. Step 4: Simplify right side
    431,660.22x = 95,367,513,233.53
  5. Step 5: Solve for x
    x = 95,367,513,233.53/431,660.22
  6. Step 6: Final answer
    x = 220,931.90

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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.