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Finding the Fourth Proportional to 276,312.31, 414,468.45 and 76,632.70

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Solution

The fourth proportional to 276,312.31, 414,468.45 and 76,632.70 is: 114,949.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,312.31 : 414,468.45 = 76,632.70 : x
  2. Step 2: Convert to fraction form
    276,312.31/414,468.45 = 76,632.70/x
  3. Step 3: Cross multiply
    276,312.31x = 414,468.45 × 76,632.70
  4. Step 4: Simplify right side
    276,312.31x = 31,761,833,932.81
  5. Step 5: Solve for x
    x = 31,761,833,932.81/276,312.31
  6. Step 6: Final answer
    x = 114,949.04

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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.