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Finding the Fourth Proportional to 253,057.38, 349,208.58 and 149,758.54

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Solution

The fourth proportional to 253,057.38, 349,208.58 and 149,758.54 is: 206,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,057.38 : 349,208.58 = 149,758.54 : x
  2. Step 2: Convert to fraction form
    253,057.38/349,208.58 = 149,758.54/x
  3. Step 3: Cross multiply
    253,057.38x = 349,208.58 × 149,758.54
  4. Step 4: Simplify right side
    253,057.38x = 52,296,964,601.44
  5. Step 5: Solve for x
    x = 52,296,964,601.44/253,057.38
  6. Step 6: Final answer
    x = 206,660.50

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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.