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Finding the Fourth Proportional to 253,576.56, 349,946.59 and 140,399.31

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Solution

The fourth proportional to 253,576.56, 349,946.59 and 140,399.31 is: 193,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,576.56 : 349,946.59 = 140,399.31 : x
  2. Step 2: Convert to fraction form
    253,576.56/349,946.59 = 140,399.31/x
  3. Step 3: Cross multiply
    253,576.56x = 349,946.59 × 140,399.31
  4. Step 4: Simplify right side
    253,576.56x = 49,132,259,772.85
  5. Step 5: Solve for x
    x = 49,132,259,772.85/253,576.56
  6. Step 6: Final answer
    x = 193,757.10

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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.