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Finding the Fourth Proportional to 256,738, 354,271.20 and 141,998.44

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Solution

The fourth proportional to 256,738, 354,271.20 and 141,998.44 is: 195,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,738 : 354,271.20 = 141,998.44 : x
  2. Step 2: Convert to fraction form
    256,738/354,271.20 = 141,998.44/x
  3. Step 3: Cross multiply
    256,738x = 354,271.20 × 141,998.44
  4. Step 4: Simplify right side
    256,738x = 50,305,957,736.93
  5. Step 5: Solve for x
    x = 50,305,957,736.93/256,738
  6. Step 6: Final answer
    x = 195,942.78

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1.5x scale

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.