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Finding the Fourth Proportional to 251,377.96, 347,013.40 and 149,436.42

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Solution

The fourth proportional to 251,377.96, 347,013.40 and 149,436.42 is: 206,288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,377.96 : 347,013.40 = 149,436.42 : x
  2. Step 2: Convert to fraction form
    251,377.96/347,013.40 = 149,436.42/x
  3. Step 3: Cross multiply
    251,377.96x = 347,013.40 × 149,436.42
  4. Step 4: Simplify right side
    251,377.96x = 51,856,440,188.03
  5. Step 5: Solve for x
    x = 51,856,440,188.03/251,377.96
  6. Step 6: Final answer
    x = 206,288.73

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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.