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Finding the Fourth Proportional to 325,807.50, 449,614.36 and 198,483

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Solution

The fourth proportional to 325,807.50, 449,614.36 and 198,483 is: 273,906.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,807.50 : 449,614.36 = 198,483 : x
  2. Step 2: Convert to fraction form
    325,807.50/449,614.36 = 198,483/x
  3. Step 3: Cross multiply
    325,807.50x = 449,614.36 × 198,483
  4. Step 4: Simplify right side
    325,807.50x = 89,240,807,015.88
  5. Step 5: Solve for x
    x = 89,240,807,015.88/325,807.50
  6. Step 6: Final answer
    x = 273,906.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.