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Finding the Fourth Proportional to 285,976.17, 394,694.37 and 158,692.77

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Solution

The fourth proportional to 285,976.17, 394,694.37 and 158,692.77 is: 219,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,976.17 : 394,694.37 = 158,692.77 : x
  2. Step 2: Convert to fraction form
    285,976.17/394,694.37 = 158,692.77/x
  3. Step 3: Cross multiply
    285,976.17x = 394,694.37 × 158,692.77
  4. Step 4: Simplify right side
    285,976.17x = 62,635,142,878.70
  5. Step 5: Solve for x
    x = 62,635,142,878.70/285,976.17
  6. Step 6: Final answer
    x = 219,022.25

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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.