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Finding the Fourth Proportional to 285,676.20, 394,100.64 and 200,843.28

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Solution

The fourth proportional to 285,676.20, 394,100.64 and 200,843.28 is: 277,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,676.20 : 394,100.64 = 200,843.28 : x
  2. Step 2: Convert to fraction form
    285,676.20/394,100.64 = 200,843.28/x
  3. Step 3: Cross multiply
    285,676.20x = 394,100.64 × 200,843.28
  4. Step 4: Simplify right side
    285,676.20x = 79,152,465,187.70
  5. Step 5: Solve for x
    x = 79,152,465,187.70/285,676.20
  6. Step 6: Final answer
    x = 277,070.56

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1.5x scale

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.