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Finding the Fourth Proportional to 321,382.80, 443,540.07 and 178,170.53

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Solution

The fourth proportional to 321,382.80, 443,540.07 and 178,170.53 is: 245,892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,382.80 : 443,540.07 = 178,170.53 : x
  2. Step 2: Convert to fraction form
    321,382.80/443,540.07 = 178,170.53/x
  3. Step 3: Cross multiply
    321,382.80x = 443,540.07 × 178,170.53
  4. Step 4: Simplify right side
    321,382.80x = 79,025,767,130.44
  5. Step 5: Solve for x
    x = 79,025,767,130.44/321,382.80
  6. Step 6: Final answer
    x = 245,892.96

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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.