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Finding the Fourth Proportional to 408,917.60, 613,376.40 and 323,624.60

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Solution

The fourth proportional to 408,917.60, 613,376.40 and 323,624.60 is: 485,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,917.60 : 613,376.40 = 323,624.60 : x
  2. Step 2: Convert to fraction form
    408,917.60/613,376.40 = 323,624.60/x
  3. Step 3: Cross multiply
    408,917.60x = 613,376.40 × 323,624.60
  4. Step 4: Simplify right side
    408,917.60x = 198,503,692,099.44
  5. Step 5: Solve for x
    x = 198,503,692,099.44/408,917.60
  6. Step 6: Final answer
    x = 485,436.90

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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.