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Finding the Fourth Proportional to 256,982.27, 385,456.99 and 79,474.42

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Solution

The fourth proportional to 256,982.27, 385,456.99 and 79,474.42 is: 119,206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,982.27 : 385,456.99 = 79,474.42 : x
  2. Step 2: Convert to fraction form
    256,982.27/385,456.99 = 79,474.42/x
  3. Step 3: Cross multiply
    256,982.27x = 385,456.99 × 79,474.42
  4. Step 4: Simplify right side
    256,982.27x = 30,633,970,715.20
  5. Step 5: Solve for x
    x = 30,633,970,715.20/256,982.27
  6. Step 6: Final answer
    x = 119,206.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.