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Finding the Fourth Proportional to 276,805.50, 381,991.60 and 149,481.10

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Solution

The fourth proportional to 276,805.50, 381,991.60 and 149,481.10 is: 206,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,805.50 : 381,991.60 = 149,481.10 : x
  2. Step 2: Convert to fraction form
    276,805.50/381,991.60 = 149,481.10/x
  3. Step 3: Cross multiply
    276,805.50x = 381,991.60 × 149,481.10
  4. Step 4: Simplify right side
    276,805.50x = 57,100,521,901.40
  5. Step 5: Solve for x
    x = 57,100,521,901.40/276,805.50
  6. Step 6: Final answer
    x = 206,283.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.