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Finding the Fourth Proportional to 256,225.60, 384,338.40 and 197,176.60

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Solution

The fourth proportional to 256,225.60, 384,338.40 and 197,176.60 is: 295,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,225.60 : 384,338.40 = 197,176.60 : x
  2. Step 2: Convert to fraction form
    256,225.60/384,338.40 = 197,176.60/x
  3. Step 3: Cross multiply
    256,225.60x = 384,338.40 × 197,176.60
  4. Step 4: Simplify right side
    256,225.60x = 75,782,538,961.44
  5. Step 5: Solve for x
    x = 75,782,538,961.44/256,225.60
  6. Step 6: Final answer
    x = 295,764.90

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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.