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Finding the Fourth Proportional to 358,229.88, 494,021.70 and 222,285.96

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Solution

The fourth proportional to 358,229.88, 494,021.70 and 222,285.96 is: 306,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,229.88 : 494,021.70 = 222,285.96 : x
  2. Step 2: Convert to fraction form
    358,229.88/494,021.70 = 222,285.96/x
  3. Step 3: Cross multiply
    358,229.88x = 494,021.70 × 222,285.96
  4. Step 4: Simplify right side
    358,229.88x = 109,814,087,845.33
  5. Step 5: Solve for x
    x = 109,814,087,845.33/358,229.88
  6. Step 6: Final answer
    x = 306,546.42

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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.