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Finding the Fourth Proportional to 408,861.60, 613,321.20 and 231,453.60

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Solution

The fourth proportional to 408,861.60, 613,321.20 and 231,453.60 is: 347,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,861.60 : 613,321.20 = 231,453.60 : x
  2. Step 2: Convert to fraction form
    408,861.60/613,321.20 = 231,453.60/x
  3. Step 3: Cross multiply
    408,861.60x = 613,321.20 × 231,453.60
  4. Step 4: Simplify right side
    408,861.60x = 141,955,399,696.32
  5. Step 5: Solve for x
    x = 141,955,399,696.32/408,861.60
  6. Step 6: Final answer
    x = 347,196.70

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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.