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Finding the Fourth Proportional to 276,280.20, 414,420.30 and 274,311.90

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Solution

The fourth proportional to 276,280.20, 414,420.30 and 274,311.90 is: 411,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,280.20 : 414,420.30 = 274,311.90 : x
  2. Step 2: Convert to fraction form
    276,280.20/414,420.30 = 274,311.90/x
  3. Step 3: Cross multiply
    276,280.20x = 414,420.30 × 274,311.90
  4. Step 4: Simplify right side
    276,280.20x = 113,680,419,891.57
  5. Step 5: Solve for x
    x = 113,680,419,891.57/276,280.20
  6. Step 6: Final answer
    x = 411,467.85

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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.