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Finding the Fourth Proportional to 276,889.38, 382,107.49 and 149,564.97

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Solution

The fourth proportional to 276,889.38, 382,107.49 and 149,564.97 is: 206,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,889.38 : 382,107.49 = 149,564.97 : x
  2. Step 2: Convert to fraction form
    276,889.38/382,107.49 = 149,564.97/x
  3. Step 3: Cross multiply
    276,889.38x = 382,107.49 × 149,564.97
  4. Step 4: Simplify right side
    276,889.38x = 57,149,895,278.63
  5. Step 5: Solve for x
    x = 57,149,895,278.63/276,889.38
  6. Step 6: Final answer
    x = 206,399.74

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1.5x scale

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.