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Finding the Fourth Proportional to 270,734.72, 373,608.48 and 149,876

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Solution

The fourth proportional to 270,734.72, 373,608.48 and 149,876 is: 206,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,734.72 : 373,608.48 = 149,876 : x
  2. Step 2: Convert to fraction form
    270,734.72/373,608.48 = 149,876/x
  3. Step 3: Cross multiply
    270,734.72x = 373,608.48 × 149,876
  4. Step 4: Simplify right side
    270,734.72x = 55,994,944,548.48
  5. Step 5: Solve for x
    x = 55,994,944,548.48/270,734.72
  6. Step 6: Final answer
    x = 206,825.87

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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.