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Finding the Fourth Proportional to 321,168.56, 442,965.24 and 193,711.28

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Solution

The fourth proportional to 321,168.56, 442,965.24 and 193,711.28 is: 267,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,168.56 : 442,965.24 = 193,711.28 : x
  2. Step 2: Convert to fraction form
    321,168.56/442,965.24 = 193,711.28/x
  3. Step 3: Cross multiply
    321,168.56x = 442,965.24 × 193,711.28
  4. Step 4: Simplify right side
    321,168.56x = 85,807,363,635.91
  5. Step 5: Solve for x
    x = 85,807,363,635.91/321,168.56
  6. Step 6: Final answer
    x = 267,172.36

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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.