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Finding the Fourth Proportional to 217,633.86, 300,474 and 177,444

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Solution

The fourth proportional to 217,633.86, 300,474 and 177,444 is: 244,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,633.86 : 300,474 = 177,444 : x
  2. Step 2: Convert to fraction form
    217,633.86/300,474 = 177,444/x
  3. Step 3: Cross multiply
    217,633.86x = 300,474 × 177,444
  4. Step 4: Simplify right side
    217,633.86x = 53,317,308,456
  5. Step 5: Solve for x
    x = 53,317,308,456/217,633.86
  6. Step 6: Final answer
    x = 244,986.27

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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.