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Finding the Fourth Proportional to 321,523.86, 443,446.92 and 206,815.62

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Solution

The fourth proportional to 321,523.86, 443,446.92 and 206,815.62 is: 285,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,523.86 : 443,446.92 = 206,815.62 : x
  2. Step 2: Convert to fraction form
    321,523.86/443,446.92 = 206,815.62/x
  3. Step 3: Cross multiply
    321,523.86x = 443,446.92 × 206,815.62
  4. Step 4: Simplify right side
    321,523.86x = 91,711,749,696.89
  5. Step 5: Solve for x
    x = 91,711,749,696.89/321,523.86
  6. Step 6: Final answer
    x = 285,240.88

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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.