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Finding the Fourth Proportional to 355,902.71, 491,145.79 and 194,757.80

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Solution

The fourth proportional to 355,902.71, 491,145.79 and 194,757.80 is: 268,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,902.71 : 491,145.79 = 194,757.80 : x
  2. Step 2: Convert to fraction form
    355,902.71/491,145.79 = 194,757.80/x
  3. Step 3: Cross multiply
    355,902.71x = 491,145.79 × 194,757.80
  4. Step 4: Simplify right side
    355,902.71x = 95,654,470,110.14
  5. Step 5: Solve for x
    x = 95,654,470,110.14/355,902.71
  6. Step 6: Final answer
    x = 268,765.78

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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.