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Finding the Fourth Proportional to 256,169.92, 384,246.68 and 115,928.54

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Solution

The fourth proportional to 256,169.92, 384,246.68 and 115,928.54 is: 173,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,169.92 : 384,246.68 = 115,928.54 : x
  2. Step 2: Convert to fraction form
    256,169.92/384,246.68 = 115,928.54/x
  3. Step 3: Cross multiply
    256,169.92x = 384,246.68 × 115,928.54
  4. Step 4: Simplify right side
    256,169.92x = 44,545,156,612.25
  5. Step 5: Solve for x
    x = 44,545,156,612.25/256,169.92
  6. Step 6: Final answer
    x = 173,889.10

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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.