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Finding the Fourth Proportional to 321,842.52, 443,958 and 200,773.56

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Solution

The fourth proportional to 321,842.52, 443,958 and 200,773.56 is: 276,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,842.52 : 443,958 = 200,773.56 : x
  2. Step 2: Convert to fraction form
    321,842.52/443,958 = 200,773.56/x
  3. Step 3: Cross multiply
    321,842.52x = 443,958 × 200,773.56
  4. Step 4: Simplify right side
    321,842.52x = 89,135,028,150.48
  5. Step 5: Solve for x
    x = 89,135,028,150.48/321,842.52
  6. Step 6: Final answer
    x = 276,952.31

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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.