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Finding the Fourth Proportional to 276,257.30, 414,344.94 and 76,556.87

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Solution

The fourth proportional to 276,257.30, 414,344.94 and 76,556.87 is: 114,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,257.30 : 414,344.94 = 76,556.87 : x
  2. Step 2: Convert to fraction form
    276,257.30/414,344.94 = 76,556.87/x
  3. Step 3: Cross multiply
    276,257.30x = 414,344.94 × 76,556.87
  4. Step 4: Simplify right side
    276,257.30x = 31,720,951,706.74
  5. Step 5: Solve for x
    x = 31,720,951,706.74/276,257.30
  6. Step 6: Final answer
    x = 114,823.94

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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.