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Finding the Fourth Proportional to 285,836.80, 394,455.84 and 158,524.16

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Solution

The fourth proportional to 285,836.80, 394,455.84 and 158,524.16 is: 218,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,836.80 : 394,455.84 = 158,524.16 : x
  2. Step 2: Convert to fraction form
    285,836.80/394,455.84 = 158,524.16/x
  3. Step 3: Cross multiply
    285,836.80x = 394,455.84 × 158,524.16
  4. Step 4: Simplify right side
    285,836.80x = 62,530,780,693.09
  5. Step 5: Solve for x
    x = 62,530,780,693.09/285,836.80
  6. Step 6: Final answer
    x = 218,763.93

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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.