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Finding the Fourth Proportional to 431,650.26, 647,534.46 and 147,264.44

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Solution

The fourth proportional to 431,650.26, 647,534.46 and 147,264.44 is: 220,916.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,650.26 : 647,534.46 = 147,264.44 : x
  2. Step 2: Convert to fraction form
    431,650.26/647,534.46 = 147,264.44/x
  3. Step 3: Cross multiply
    431,650.26x = 647,534.46 × 147,264.44
  4. Step 4: Simplify right side
    431,650.26x = 95,358,799,632.60
  5. Step 5: Solve for x
    x = 95,358,799,632.60/431,650.26
  6. Step 6: Final answer
    x = 220,916.81

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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.