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Finding the Fourth Proportional to 256,132.60, 384,198.90 and 123,076.60

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Solution

The fourth proportional to 256,132.60, 384,198.90 and 123,076.60 is: 184,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,132.60 : 384,198.90 = 123,076.60 : x
  2. Step 2: Convert to fraction form
    256,132.60/384,198.90 = 123,076.60/x
  3. Step 3: Cross multiply
    256,132.60x = 384,198.90 × 123,076.60
  4. Step 4: Simplify right side
    256,132.60x = 47,285,894,335.74
  5. Step 5: Solve for x
    x = 47,285,894,335.74/256,132.60
  6. Step 6: Final answer
    x = 184,614.90

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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.