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Finding the Fourth Proportional to 321,436.92, 443,601.60 and 194,131.32

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Solution

The fourth proportional to 321,436.92, 443,601.60 and 194,131.32 is: 267,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,436.92 : 443,601.60 = 194,131.32 : x
  2. Step 2: Convert to fraction form
    321,436.92/443,601.60 = 194,131.32/x
  3. Step 3: Cross multiply
    321,436.92x = 443,601.60 × 194,131.32
  4. Step 4: Simplify right side
    321,436.92x = 86,116,964,162.11
  5. Step 5: Solve for x
    x = 86,116,964,162.11/321,436.92
  6. Step 6: Final answer
    x = 267,912.49

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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.