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Finding the Fourth Proportional to 276,327.57, 414,491.33 and 76,647.97

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Solution

The fourth proportional to 276,327.57, 414,491.33 and 76,647.97 is: 114,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,327.57 : 414,491.33 = 76,647.97 : x
  2. Step 2: Convert to fraction form
    276,327.57/414,491.33 = 76,647.97/x
  3. Step 3: Cross multiply
    276,327.57x = 414,491.33 × 76,647.97
  4. Step 4: Simplify right side
    276,327.57x = 31,769,919,305.69
  5. Step 5: Solve for x
    x = 31,769,919,305.69/276,327.57
  6. Step 6: Final answer
    x = 114,971.95

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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.