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Finding the Fourth Proportional to 256,758.78, 354,320.49 and 142,034.43

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Solution

The fourth proportional to 256,758.78, 354,320.49 and 142,034.43 is: 196,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,758.78 : 354,320.49 = 142,034.43 : x
  2. Step 2: Convert to fraction form
    256,758.78/354,320.49 = 142,034.43/x
  3. Step 3: Cross multiply
    256,758.78x = 354,320.49 × 142,034.43
  4. Step 4: Simplify right side
    256,758.78x = 50,325,708,834.47
  5. Step 5: Solve for x
    x = 50,325,708,834.47/256,758.78
  6. Step 6: Final answer
    x = 196,003.85

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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.