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Finding the Fourth Proportional to 256,234.92, 384,422.85 and 123,226.44

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Solution

The fourth proportional to 256,234.92, 384,422.85 and 123,226.44 is: 184,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,234.92 : 384,422.85 = 123,226.44 : x
  2. Step 2: Convert to fraction form
    256,234.92/384,422.85 = 123,226.44/x
  3. Step 3: Cross multiply
    256,234.92x = 384,422.85 × 123,226.44
  4. Step 4: Simplify right side
    256,234.92x = 47,371,059,260.15
  5. Step 5: Solve for x
    x = 47,371,059,260.15/256,234.92
  6. Step 6: Final answer
    x = 184,873.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.