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Finding the Fourth Proportional to 275,857.74, 380,691.30 and 194,211.96

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Solution

The fourth proportional to 275,857.74, 380,691.30 and 194,211.96 is: 268,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,857.74 : 380,691.30 = 194,211.96 : x
  2. Step 2: Convert to fraction form
    275,857.74/380,691.30 = 194,211.96/x
  3. Step 3: Cross multiply
    275,857.74x = 380,691.30 × 194,211.96
  4. Step 4: Simplify right side
    275,857.74x = 73,934,803,527.95
  5. Step 5: Solve for x
    x = 73,934,803,527.95/275,857.74
  6. Step 6: Final answer
    x = 268,017.87

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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.