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Finding the Fourth Proportional to 307,976.88, 424,861.92 and 193,198.80

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Solution

The fourth proportional to 307,976.88, 424,861.92 and 193,198.80 is: 266,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,976.88 : 424,861.92 = 193,198.80 : x
  2. Step 2: Convert to fraction form
    307,976.88/424,861.92 = 193,198.80/x
  3. Step 3: Cross multiply
    307,976.88x = 424,861.92 × 193,198.80
  4. Step 4: Simplify right side
    307,976.88x = 82,082,813,109.70
  5. Step 5: Solve for x
    x = 82,082,813,109.70/307,976.88
  6. Step 6: Final answer
    x = 266,522.65

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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.