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Finding the Fourth Proportional to 276,182.34, 414,282.69 and 76,504.74

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Solution

The fourth proportional to 276,182.34, 414,282.69 and 76,504.74 is: 114,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,182.34 : 414,282.69 = 76,504.74 : x
  2. Step 2: Convert to fraction form
    276,182.34/414,282.69 = 76,504.74/x
  3. Step 3: Cross multiply
    276,182.34x = 414,282.69 × 76,504.74
  4. Step 4: Simplify right side
    276,182.34x = 31,694,589,484.95
  5. Step 5: Solve for x
    x = 31,694,589,484.95/276,182.34
  6. Step 6: Final answer
    x = 114,759.65

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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.