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Finding the Fourth Proportional to 408,951.60, 613,427.40 and 231,804.60

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Solution

The fourth proportional to 408,951.60, 613,427.40 and 231,804.60 is: 347,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,951.60 : 613,427.40 = 231,804.60 : x
  2. Step 2: Convert to fraction form
    408,951.60/613,427.40 = 231,804.60/x
  3. Step 3: Cross multiply
    408,951.60x = 613,427.40 × 231,804.60
  4. Step 4: Simplify right side
    408,951.60x = 142,195,293,086.04
  5. Step 5: Solve for x
    x = 142,195,293,086.04/408,951.60
  6. Step 6: Final answer
    x = 347,706.90

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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.