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Finding the Fourth Proportional to 321,143.32, 443,202.78 and 177,916.60

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Solution

The fourth proportional to 321,143.32, 443,202.78 and 177,916.60 is: 245,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,143.32 : 443,202.78 = 177,916.60 : x
  2. Step 2: Convert to fraction form
    321,143.32/443,202.78 = 177,916.60/x
  3. Step 3: Cross multiply
    321,143.32x = 443,202.78 × 177,916.60
  4. Step 4: Simplify right side
    321,143.32x = 78,853,131,728.15
  5. Step 5: Solve for x
    x = 78,853,131,728.15/321,143.32
  6. Step 6: Final answer
    x = 245,538.76

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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.