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Finding the Fourth Proportional to 276,806, 415,238.16 and 127,020.80

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Solution

The fourth proportional to 276,806, 415,238.16 and 127,020.80 is: 190,544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,806 : 415,238.16 = 127,020.80 : x
  2. Step 2: Convert to fraction form
    276,806/415,238.16 = 127,020.80/x
  3. Step 3: Cross multiply
    276,806x = 415,238.16 × 127,020.80
  4. Step 4: Simplify right side
    276,806x = 52,743,883,273.73
  5. Step 5: Solve for x
    x = 52,743,883,273.73/276,806
  6. Step 6: Final answer
    x = 190,544.58

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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.