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Finding the Fourth Proportional to 286,103.14, 394,782 and 171,354.90

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Solution

The fourth proportional to 286,103.14, 394,782 and 171,354.90 is: 236,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,103.14 : 394,782 = 171,354.90 : x
  2. Step 2: Convert to fraction form
    286,103.14/394,782 = 171,354.90/x
  3. Step 3: Cross multiply
    286,103.14x = 394,782 × 171,354.90
  4. Step 4: Simplify right side
    286,103.14x = 67,647,830,131.80
  5. Step 5: Solve for x
    x = 67,647,830,131.80/286,103.14
  6. Step 6: Final answer
    x = 236,445.61

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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.