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Finding the Fourth Proportional to 321,639, 443,571.23 and 200,791.46

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Solution

The fourth proportional to 321,639, 443,571.23 and 200,791.46 is: 276,910.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,639 : 443,571.23 = 200,791.46 : x
  2. Step 2: Convert to fraction form
    321,639/443,571.23 = 200,791.46/x
  3. Step 3: Cross multiply
    321,639x = 443,571.23 × 200,791.46
  4. Step 4: Simplify right side
    321,639x = 89,065,311,663.88
  5. Step 5: Solve for x
    x = 89,065,311,663.88/321,639
  6. Step 6: Final answer
    x = 276,910.80

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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.