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Finding the Fourth Proportional to 321,729.49, 443,998.56 and 194,380.48

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Solution

The fourth proportional to 321,729.49, 443,998.56 and 194,380.48 is: 268,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,729.49 : 443,998.56 = 194,380.48 : x
  2. Step 2: Convert to fraction form
    321,729.49/443,998.56 = 194,380.48/x
  3. Step 3: Cross multiply
    321,729.49x = 443,998.56 × 194,380.48
  4. Step 4: Simplify right side
    321,729.49x = 86,304,653,212.11
  5. Step 5: Solve for x
    x = 86,304,653,212.11/321,729.49
  6. Step 6: Final answer
    x = 268,252.23

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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.