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Finding the Fourth Proportional to 276,496.80, 414,768.24 and 74,121.75

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Solution

The fourth proportional to 276,496.80, 414,768.24 and 74,121.75 is: 111,188.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,496.80 : 414,768.24 = 74,121.75 : x
  2. Step 2: Convert to fraction form
    276,496.80/414,768.24 = 74,121.75/x
  3. Step 3: Cross multiply
    276,496.80x = 414,768.24 × 74,121.75
  4. Step 4: Simplify right side
    276,496.80x = 30,743,345,348.77
  5. Step 5: Solve for x
    x = 30,743,345,348.77/276,496.80
  6. Step 6: Final answer
    x = 111,188.79

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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.