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Finding the Fourth Proportional to 321,988.43, 444,321.75 and 178,737.16

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Solution

The fourth proportional to 321,988.43, 444,321.75 and 178,737.16 is: 246,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,988.43 : 444,321.75 = 178,737.16 : x
  2. Step 2: Convert to fraction form
    321,988.43/444,321.75 = 178,737.16/x
  3. Step 3: Cross multiply
    321,988.43x = 444,321.75 × 178,737.16
  4. Step 4: Simplify right side
    321,988.43x = 79,416,807,721.23
  5. Step 5: Solve for x
    x = 79,416,807,721.23/321,988.43
  6. Step 6: Final answer
    x = 246,644.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.