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Finding the Fourth Proportional to 270,144.84, 372,781.32 and 149,285

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Solution

The fourth proportional to 270,144.84, 372,781.32 and 149,285 is: 206,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,144.84 : 372,781.32 = 149,285 : x
  2. Step 2: Convert to fraction form
    270,144.84/372,781.32 = 149,285/x
  3. Step 3: Cross multiply
    270,144.84x = 372,781.32 × 149,285
  4. Step 4: Simplify right side
    270,144.84x = 55,650,659,356.20
  5. Step 5: Solve for x
    x = 55,650,659,356.20/270,144.84
  6. Step 6: Final answer
    x = 206,003.04

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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.