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Finding the Fourth Proportional to 322,456.32, 482,880 and 203,769.60

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Solution

The fourth proportional to 322,456.32, 482,880 and 203,769.60 is: 305,146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,456.32 : 482,880 = 203,769.60 : x
  2. Step 2: Convert to fraction form
    322,456.32/482,880 = 203,769.60/x
  3. Step 3: Cross multiply
    322,456.32x = 482,880 × 203,769.60
  4. Step 4: Simplify right side
    322,456.32x = 98,396,264,448
  5. Step 5: Solve for x
    x = 98,396,264,448/322,456.32
  6. Step 6: Final answer
    x = 305,146.03

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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.