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Finding the Fourth Proportional to 285,701.43, 394,265.79 and 156,638.37

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Solution

The fourth proportional to 285,701.43, 394,265.79 and 156,638.37 is: 216,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,701.43 : 394,265.79 = 156,638.37 : x
  2. Step 2: Convert to fraction form
    285,701.43/394,265.79 = 156,638.37/x
  3. Step 3: Cross multiply
    285,701.43x = 394,265.79 × 156,638.37
  4. Step 4: Simplify right side
    285,701.43x = 61,757,150,692.36
  5. Step 5: Solve for x
    x = 61,757,150,692.36/285,701.43
  6. Step 6: Final answer
    x = 216,159.75

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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.