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Finding the Fourth Proportional to 253,198.49, 349,399.76 and 138,454.38

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Solution

The fourth proportional to 253,198.49, 349,399.76 and 138,454.38 is: 191,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,198.49 : 349,399.76 = 138,454.38 : x
  2. Step 2: Convert to fraction form
    253,198.49/349,399.76 = 138,454.38/x
  3. Step 3: Cross multiply
    253,198.49x = 349,399.76 × 138,454.38
  4. Step 4: Simplify right side
    253,198.49x = 48,375,926,450.68
  5. Step 5: Solve for x
    x = 48,375,926,450.68/253,198.49
  6. Step 6: Final answer
    x = 191,059.30

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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.