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Finding the Fourth Proportional to 256,766.96, 354,331.80 and 142,049.92

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Solution

The fourth proportional to 256,766.96, 354,331.80 and 142,049.92 is: 196,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,766.96 : 354,331.80 = 142,049.92 : x
  2. Step 2: Convert to fraction form
    256,766.96/354,331.80 = 142,049.92/x
  3. Step 3: Cross multiply
    256,766.96x = 354,331.80 × 142,049.92
  4. Step 4: Simplify right side
    256,766.96x = 50,332,803,843.46
  5. Step 5: Solve for x
    x = 50,332,803,843.46/256,766.96
  6. Step 6: Final answer
    x = 196,025.24

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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.