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Finding the Fourth Proportional to 356,367.81, 491,799.82 and 195,222.81

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Solution

The fourth proportional to 356,367.81, 491,799.82 and 195,222.81 is: 269,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,367.81 : 491,799.82 = 195,222.81 : x
  2. Step 2: Convert to fraction form
    356,367.81/491,799.82 = 195,222.81/x
  3. Step 3: Cross multiply
    356,367.81x = 491,799.82 × 195,222.81
  4. Step 4: Simplify right side
    356,367.81x = 96,010,542,817.89
  5. Step 5: Solve for x
    x = 96,010,542,817.89/356,367.81
  6. Step 6: Final answer
    x = 269,414.18

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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.