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Finding the Fourth Proportional to 285,678, 394,236 and 158,372.64

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Solution

The fourth proportional to 285,678, 394,236 and 158,372.64 is: 218,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,678 : 394,236 = 158,372.64 : x
  2. Step 2: Convert to fraction form
    285,678/394,236 = 158,372.64/x
  3. Step 3: Cross multiply
    285,678x = 394,236 × 158,372.64
  4. Step 4: Simplify right side
    285,678x = 62,436,196,103.04
  5. Step 5: Solve for x
    x = 62,436,196,103.04/285,678
  6. Step 6: Final answer
    x = 218,554.44

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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.