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Finding the Fourth Proportional to 329,850.20, 494,119.20 and 306,230.60

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Solution

The fourth proportional to 329,850.20, 494,119.20 and 306,230.60 is: 458,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,850.20 : 494,119.20 = 306,230.60 : x
  2. Step 2: Convert to fraction form
    329,850.20/494,119.20 = 306,230.60/x
  3. Step 3: Cross multiply
    329,850.20x = 494,119.20 × 306,230.60
  4. Step 4: Simplify right side
    329,850.20x = 151,314,419,087.52
  5. Step 5: Solve for x
    x = 151,314,419,087.52/329,850.20
  6. Step 6: Final answer
    x = 458,736.78

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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.