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Finding the Fourth Proportional to 256,478.60, 384,257.10 and 219,614.60

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Solution

The fourth proportional to 256,478.60, 384,257.10 and 219,614.60 is: 329,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,478.60 : 384,257.10 = 219,614.60 : x
  2. Step 2: Convert to fraction form
    256,478.60/384,257.10 = 219,614.60/x
  3. Step 3: Cross multiply
    256,478.60x = 384,257.10 × 219,614.60
  4. Step 4: Simplify right side
    256,478.60x = 84,388,469,313.66
  5. Step 5: Solve for x
    x = 84,388,469,313.66/256,478.60
  6. Step 6: Final answer
    x = 329,027.33

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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.