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Finding the Fourth Proportional to 361,766, 499,237.08 and 202,790

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Solution

The fourth proportional to 361,766, 499,237.08 and 202,790 is: 279,850.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,766 : 499,237.08 = 202,790 : x
  2. Step 2: Convert to fraction form
    361,766/499,237.08 = 202,790/x
  3. Step 3: Cross multiply
    361,766x = 499,237.08 × 202,790
  4. Step 4: Simplify right side
    361,766x = 101,240,287,453.20
  5. Step 5: Solve for x
    x = 101,240,287,453.20/361,766
  6. Step 6: Final answer
    x = 279,850.20

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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.