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Finding the Fourth Proportional to 321,638.83, 443,571.15 and 200,791.33

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Solution

The fourth proportional to 321,638.83, 443,571.15 and 200,791.33 is: 276,910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,638.83 : 443,571.15 = 200,791.33 : x
  2. Step 2: Convert to fraction form
    321,638.83/443,571.15 = 200,791.33/x
  3. Step 3: Cross multiply
    321,638.83x = 443,571.15 × 200,791.33
  4. Step 4: Simplify right side
    321,638.83x = 89,065,241,158.13
  5. Step 5: Solve for x
    x = 89,065,241,158.13/321,638.83
  6. Step 6: Final answer
    x = 276,910.72

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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.