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Finding the Fourth Proportional to 419,552.46, 628,551.90 and 324,445.50

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Solution

The fourth proportional to 419,552.46, 628,551.90 and 324,445.50 is: 486,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,552.46 : 628,551.90 = 324,445.50 : x
  2. Step 2: Convert to fraction form
    419,552.46/628,551.90 = 324,445.50/x
  3. Step 3: Cross multiply
    419,552.46x = 628,551.90 × 324,445.50
  4. Step 4: Simplify right side
    419,552.46x = 203,930,835,471.45
  5. Step 5: Solve for x
    x = 203,930,835,471.45/419,552.46
  6. Step 6: Final answer
    x = 486,067.55

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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.