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Finding the Fourth Proportional to 256,288.60, 384,472.86 and 123,144.04

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Solution

The fourth proportional to 256,288.60, 384,472.86 and 123,144.04 is: 184,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,288.60 : 384,472.86 = 123,144.04 : x
  2. Step 2: Convert to fraction form
    256,288.60/384,472.86 = 123,144.04/x
  3. Step 3: Cross multiply
    256,288.60x = 384,472.86 × 123,144.04
  4. Step 4: Simplify right side
    256,288.60x = 47,345,541,250.75
  5. Step 5: Solve for x
    x = 47,345,541,250.75/256,288.60
  6. Step 6: Final answer
    x = 184,735.26

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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.