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Finding the Fourth Proportional to 276,367.20, 414,504.42 and 76,707.87

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Solution

The fourth proportional to 276,367.20, 414,504.42 and 76,707.87 is: 115,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,367.20 : 414,504.42 = 76,707.87 : x
  2. Step 2: Convert to fraction form
    276,367.20/414,504.42 = 76,707.87/x
  3. Step 3: Cross multiply
    276,367.20x = 414,504.42 × 76,707.87
  4. Step 4: Simplify right side
    276,367.20x = 31,795,751,163.79
  5. Step 5: Solve for x
    x = 31,795,751,163.79/276,367.20
  6. Step 6: Final answer
    x = 115,048.93

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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.