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Finding the Fourth Proportional to 303,958.23, 419,513.39 and 205,796.96

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Solution

The fourth proportional to 303,958.23, 419,513.39 and 205,796.96 is: 284,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,958.23 : 419,513.39 = 205,796.96 : x
  2. Step 2: Convert to fraction form
    303,958.23/419,513.39 = 205,796.96/x
  3. Step 3: Cross multiply
    303,958.23x = 419,513.39 × 205,796.96
  4. Step 4: Simplify right side
    303,958.23x = 86,334,578,778.02
  5. Step 5: Solve for x
    x = 86,334,578,778.02/303,958.23
  6. Step 6: Final answer
    x = 284,034.35

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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.