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Finding the Fourth Proportional to 455,310.90, 682,419.60 and 188,934.30

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Solution

The fourth proportional to 455,310.90, 682,419.60 and 188,934.30 is: 283,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,310.90 : 682,419.60 = 188,934.30 : x
  2. Step 2: Convert to fraction form
    455,310.90/682,419.60 = 188,934.30/x
  3. Step 3: Cross multiply
    455,310.90x = 682,419.60 × 188,934.30
  4. Step 4: Simplify right side
    455,310.90x = 128,932,469,432.28
  5. Step 5: Solve for x
    x = 128,932,469,432.28/455,310.90
  6. Step 6: Final answer
    x = 283,174.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.