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Finding the Fourth Proportional to 321,585.31, 443,776.55 and 178,358.68

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Solution

The fourth proportional to 321,585.31, 443,776.55 and 178,358.68 is: 246,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,585.31 : 443,776.55 = 178,358.68 : x
  2. Step 2: Convert to fraction form
    321,585.31/443,776.55 = 178,358.68/x
  3. Step 3: Cross multiply
    321,585.31x = 443,776.55 × 178,358.68
  4. Step 4: Simplify right side
    321,585.31x = 79,151,399,672.95
  5. Step 5: Solve for x
    x = 79,151,399,672.95/321,585.31
  6. Step 6: Final answer
    x = 246,128.78

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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.