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Finding the Fourth Proportional to 431,532.31, 647,297.54 and 115,989.22

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Solution

The fourth proportional to 431,532.31, 647,297.54 and 115,989.22 is: 173,983.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,532.31 : 647,297.54 = 115,989.22 : x
  2. Step 2: Convert to fraction form
    431,532.31/647,297.54 = 115,989.22/x
  3. Step 3: Cross multiply
    431,532.31x = 647,297.54 × 115,989.22
  4. Step 4: Simplify right side
    431,532.31x = 75,079,532,956.09
  5. Step 5: Solve for x
    x = 75,079,532,956.09/431,532.31
  6. Step 6: Final answer
    x = 173,983.57

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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.