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Finding the Fourth Proportional to 276,664.60, 414,996.90 and 274,331.80

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Solution

The fourth proportional to 276,664.60, 414,996.90 and 274,331.80 is: 411,497.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,664.60 : 414,996.90 = 274,331.80 : x
  2. Step 2: Convert to fraction form
    276,664.60/414,996.90 = 274,331.80/x
  3. Step 3: Cross multiply
    276,664.60x = 414,996.90 × 274,331.80
  4. Step 4: Simplify right side
    276,664.60x = 113,846,846,571.42
  5. Step 5: Solve for x
    x = 113,846,846,571.42/276,664.60
  6. Step 6: Final answer
    x = 411,497.70

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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.