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Finding the Fourth Proportional to 276,305.60, 414,481.80 and 76,625.96

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Solution

The fourth proportional to 276,305.60, 414,481.80 and 76,625.96 is: 114,945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,305.60 : 414,481.80 = 76,625.96 : x
  2. Step 2: Convert to fraction form
    276,305.60/414,481.80 = 76,625.96/x
  3. Step 3: Cross multiply
    276,305.60x = 414,481.80 × 76,625.96
  4. Step 4: Simplify right side
    276,305.60x = 31,760,065,827.53
  5. Step 5: Solve for x
    x = 31,760,065,827.53/276,305.60
  6. Step 6: Final answer
    x = 114,945.43

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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.