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Finding the Fourth Proportional to 263,012.82, 362,954.97 and 149,838

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Solution

The fourth proportional to 263,012.82, 362,954.97 and 149,838 is: 206,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,012.82 : 362,954.97 = 149,838 : x
  2. Step 2: Convert to fraction form
    263,012.82/362,954.97 = 149,838/x
  3. Step 3: Cross multiply
    263,012.82x = 362,954.97 × 149,838
  4. Step 4: Simplify right side
    263,012.82x = 54,384,446,794.86
  5. Step 5: Solve for x
    x = 54,384,446,794.86/263,012.82
  6. Step 6: Final answer
    x = 206,774.89

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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.