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Finding the Fourth Proportional to 276,078.73, 414,127.36 and 76,382.39

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Solution

The fourth proportional to 276,078.73, 414,127.36 and 76,382.39 is: 114,576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,078.73 : 414,127.36 = 76,382.39 : x
  2. Step 2: Convert to fraction form
    276,078.73/414,127.36 = 76,382.39/x
  3. Step 3: Cross multiply
    276,078.73x = 414,127.36 × 76,382.39
  4. Step 4: Simplify right side
    276,078.73x = 31,632,038,437.16
  5. Step 5: Solve for x
    x = 31,632,038,437.16/276,078.73
  6. Step 6: Final answer
    x = 114,576.15

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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.