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Finding the Fourth Proportional to 361,802, 499,293 and 200,664.08

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Solution

The fourth proportional to 361,802, 499,293 and 200,664.08 is: 276,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,802 : 499,293 = 200,664.08 : x
  2. Step 2: Convert to fraction form
    361,802/499,293 = 200,664.08/x
  3. Step 3: Cross multiply
    361,802x = 499,293 × 200,664.08
  4. Step 4: Simplify right side
    361,802x = 100,190,170,495.44
  5. Step 5: Solve for x
    x = 100,190,170,495.44/361,802
  6. Step 6: Final answer
    x = 276,919.89

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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.