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Finding the Fourth Proportional to 321,184.39, 443,442.44 and 206,514.53

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Solution

The fourth proportional to 321,184.39, 443,442.44 and 206,514.53 is: 285,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,184.39 : 443,442.44 = 206,514.53 : x
  2. Step 2: Convert to fraction form
    321,184.39/443,442.44 = 206,514.53/x
  3. Step 3: Cross multiply
    321,184.39x = 443,442.44 × 206,514.53
  4. Step 4: Simplify right side
    321,184.39x = 91,577,307,078.65
  5. Step 5: Solve for x
    x = 91,577,307,078.65/321,184.39
  6. Step 6: Final answer
    x = 285,123.78

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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.