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Finding the Fourth Proportional to 253,057.28, 349,208.45 and 149,758.44

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Solution

The fourth proportional to 253,057.28, 349,208.45 and 149,758.44 is: 206,660.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,057.28 : 349,208.45 = 149,758.44 : x
  2. Step 2: Convert to fraction form
    253,057.28/349,208.45 = 149,758.44/x
  3. Step 3: Cross multiply
    253,057.28x = 349,208.45 × 149,758.44
  4. Step 4: Simplify right side
    253,057.28x = 52,296,911,958.03
  5. Step 5: Solve for x
    x = 52,296,911,958.03/253,057.28
  6. Step 6: Final answer
    x = 206,660.37

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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.