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Finding the Fourth Proportional to 361,380, 498,704.40 and 202,404

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Solution

The fourth proportional to 361,380, 498,704.40 and 202,404 is: 279,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,380 : 498,704.40 = 202,404 : x
  2. Step 2: Convert to fraction form
    361,380/498,704.40 = 202,404/x
  3. Step 3: Cross multiply
    361,380x = 498,704.40 × 202,404
  4. Step 4: Simplify right side
    361,380x = 100,939,765,377.60
  5. Step 5: Solve for x
    x = 100,939,765,377.60/361,380
  6. Step 6: Final answer
    x = 279,317.52

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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.