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Finding the Fourth Proportional to 361,922, 499,452.84 and 200,771.60

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Solution

The fourth proportional to 361,922, 499,452.84 and 200,771.60 is: 277,065.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,922 : 499,452.84 = 200,771.60 : x
  2. Step 2: Convert to fraction form
    361,922/499,452.84 = 200,771.60/x
  3. Step 3: Cross multiply
    361,922x = 499,452.84 × 200,771.60
  4. Step 4: Simplify right side
    361,922x = 100,275,945,811.34
  5. Step 5: Solve for x
    x = 100,275,945,811.34/361,922
  6. Step 6: Final answer
    x = 277,065.07

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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.