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Finding the Fourth Proportional to 256,279.20, 384,807.60 and 197,181.60

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Solution

The fourth proportional to 256,279.20, 384,807.60 and 197,181.60 is: 296,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,279.20 : 384,807.60 = 197,181.60 : x
  2. Step 2: Convert to fraction form
    256,279.20/384,807.60 = 197,181.60/x
  3. Step 3: Cross multiply
    256,279.20x = 384,807.60 × 197,181.60
  4. Step 4: Simplify right side
    256,279.20x = 75,876,978,260.16
  5. Step 5: Solve for x
    x = 75,876,978,260.16/256,279.20
  6. Step 6: Final answer
    x = 296,071.54

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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.