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Finding the Fourth Proportional to 256,464.20, 384,005.10 and 185,961.80

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Solution

The fourth proportional to 256,464.20, 384,005.10 and 185,961.80 is: 278,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,464.20 : 384,005.10 = 185,961.80 : x
  2. Step 2: Convert to fraction form
    256,464.20/384,005.10 = 185,961.80/x
  3. Step 3: Cross multiply
    256,464.20x = 384,005.10 × 185,961.80
  4. Step 4: Simplify right side
    256,464.20x = 71,410,279,605.18
  5. Step 5: Solve for x
    x = 71,410,279,605.18/256,464.20
  6. Step 6: Final answer
    x = 278,441.51

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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.