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Finding the Fourth Proportional to 321,711.68, 443,942.08 and 178,468.80

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Solution

The fourth proportional to 321,711.68, 443,942.08 and 178,468.80 is: 246,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,711.68 : 443,942.08 = 178,468.80 : x
  2. Step 2: Convert to fraction form
    321,711.68/443,942.08 = 178,468.80/x
  3. Step 3: Cross multiply
    321,711.68x = 443,942.08 × 178,468.80
  4. Step 4: Simplify right side
    321,711.68x = 79,229,810,287.10
  5. Step 5: Solve for x
    x = 79,229,810,287.10/321,711.68
  6. Step 6: Final answer
    x = 246,275.83

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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.