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Finding the Fourth Proportional to 431,866.26, 647,894.16 and 132,369.39

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Solution

The fourth proportional to 431,866.26, 647,894.16 and 132,369.39 is: 198,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,866.26 : 647,894.16 = 132,369.39 : x
  2. Step 2: Convert to fraction form
    431,866.26/647,894.16 = 132,369.39/x
  3. Step 3: Cross multiply
    431,866.26x = 647,894.16 × 132,369.39
  4. Step 4: Simplify right side
    431,866.26x = 85,761,354,743.76
  5. Step 5: Solve for x
    x = 85,761,354,743.76/431,866.26
  6. Step 6: Final answer
    x = 198,583.13

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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.