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Finding the Fourth Proportional to 256,487.60, 384,270.60 and 219,623.60

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Solution

The fourth proportional to 256,487.60, 384,270.60 and 219,623.60 is: 329,040.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,487.60 : 384,270.60 = 219,623.60 : x
  2. Step 2: Convert to fraction form
    256,487.60/384,270.60 = 219,623.60/x
  3. Step 3: Cross multiply
    256,487.60x = 384,270.60 × 219,623.60
  4. Step 4: Simplify right side
    256,487.60x = 84,394,892,546.16
  5. Step 5: Solve for x
    x = 84,394,892,546.16/256,487.60
  6. Step 6: Final answer
    x = 329,040.83

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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.