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Finding the Fourth Proportional to 279,399.44, 418,805.72 and 137,047.61

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Solution

The fourth proportional to 279,399.44, 418,805.72 and 137,047.61 is: 205,427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,399.44 : 418,805.72 = 137,047.61 : x
  2. Step 2: Convert to fraction form
    279,399.44/418,805.72 = 137,047.61/x
  3. Step 3: Cross multiply
    279,399.44x = 418,805.72 × 137,047.61
  4. Step 4: Simplify right side
    279,399.44x = 57,396,320,201.06
  5. Step 5: Solve for x
    x = 57,396,320,201.06/279,399.44
  6. Step 6: Final answer
    x = 205,427.47

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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.