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Finding the Fourth Proportional to 276,078.75, 414,127.34 and 76,382.43

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Solution

The fourth proportional to 276,078.75, 414,127.34 and 76,382.43 is: 114,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,078.75 : 414,127.34 = 76,382.43 : x
  2. Step 2: Convert to fraction form
    276,078.75/414,127.34 = 76,382.43/x
  3. Step 3: Cross multiply
    276,078.75x = 414,127.34 × 76,382.43
  4. Step 4: Simplify right side
    276,078.75x = 31,632,052,558.64
  5. Step 5: Solve for x
    x = 31,632,052,558.64/276,078.75
  6. Step 6: Final answer
    x = 114,576.19

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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.