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Finding the Fourth Proportional to 361,860, 499,369.22 and 200,717.79

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Solution

The fourth proportional to 361,860, 499,369.22 and 200,717.79 is: 276,991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,860 : 499,369.22 = 200,717.79 : x
  2. Step 2: Convert to fraction form
    361,860/499,369.22 = 200,717.79/x
  3. Step 3: Cross multiply
    361,860x = 499,369.22 × 200,717.79
  4. Step 4: Simplify right side
    361,860x = 100,232,286,232.42
  5. Step 5: Solve for x
    x = 100,232,286,232.42/361,860
  6. Step 6: Final answer
    x = 276,991.89

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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.