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Finding the Fourth Proportional to 321,640.50, 443,573.30 and 200,792.96

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Solution

The fourth proportional to 321,640.50, 443,573.30 and 200,792.96 is: 276,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,640.50 : 443,573.30 = 200,792.96 : x
  2. Step 2: Convert to fraction form
    321,640.50/443,573.30 = 200,792.96/x
  3. Step 3: Cross multiply
    321,640.50x = 443,573.30 × 200,792.96
  4. Step 4: Simplify right side
    321,640.50x = 89,066,392,662.14
  5. Step 5: Solve for x
    x = 89,066,392,662.14/321,640.50
  6. Step 6: Final answer
    x = 276,912.87

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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.