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Finding the Fourth Proportional to 276,511.59, 414,767.15 and 76,831.88

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Solution

The fourth proportional to 276,511.59, 414,767.15 and 76,831.88 is: 115,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,511.59 : 414,767.15 = 76,831.88 : x
  2. Step 2: Convert to fraction form
    276,511.59/414,767.15 = 76,831.88/x
  3. Step 3: Cross multiply
    276,511.59x = 414,767.15 × 76,831.88
  4. Step 4: Simplify right side
    276,511.59x = 31,867,337,726.87
  5. Step 5: Solve for x
    x = 31,867,337,726.87/276,511.59
  6. Step 6: Final answer
    x = 115,247.75

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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.