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Finding the Fourth Proportional to 256,165.92, 384,240.68 and 115,924.54

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Solution

The fourth proportional to 256,165.92, 384,240.68 and 115,924.54 is: 173,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,165.92 : 384,240.68 = 115,924.54 : x
  2. Step 2: Convert to fraction form
    256,165.92/384,240.68 = 115,924.54/x
  3. Step 3: Cross multiply
    256,165.92x = 384,240.68 × 115,924.54
  4. Step 4: Simplify right side
    256,165.92x = 44,542,924,078.29
  5. Step 5: Solve for x
    x = 44,542,924,078.29/256,165.92
  6. Step 6: Final answer
    x = 173,883.10

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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.