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Finding the Fourth Proportional to 273,386, 410,079 and 76,394

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Solution

The fourth proportional to 273,386, 410,079 and 76,394 is: 114,591

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,386 : 410,079 = 76,394 : x
  2. Step 2: Convert to fraction form
    273,386/410,079 = 76,394/x
  3. Step 3: Cross multiply
    273,386x = 410,079 × 76,394
  4. Step 4: Simplify right side
    273,386x = 31,327,575,126
  5. Step 5: Solve for x
    x = 31,327,575,126/273,386
  6. Step 6: Final answer
    x = 114,591

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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.