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Finding the Fourth Proportional to 329,760.60, 494,640.90 and 205,344.60

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Solution

The fourth proportional to 329,760.60, 494,640.90 and 205,344.60 is: 308,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,760.60 : 494,640.90 = 205,344.60 : x
  2. Step 2: Convert to fraction form
    329,760.60/494,640.90 = 205,344.60/x
  3. Step 3: Cross multiply
    329,760.60x = 494,640.90 × 205,344.60
  4. Step 4: Simplify right side
    329,760.60x = 101,571,837,754.14
  5. Step 5: Solve for x
    x = 101,571,837,754.14/329,760.60
  6. Step 6: Final answer
    x = 308,016.90

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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.