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Finding the Fourth Proportional to 285,544.82, 394,054.18 and 158,222.54

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Solution

The fourth proportional to 285,544.82, 394,054.18 and 158,222.54 is: 218,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,544.82 : 394,054.18 = 158,222.54 : x
  2. Step 2: Convert to fraction form
    285,544.82/394,054.18 = 158,222.54/x
  3. Step 3: Cross multiply
    285,544.82x = 394,054.18 × 158,222.54
  4. Step 4: Simplify right side
    285,544.82x = 62,348,250,891.39
  5. Step 5: Solve for x
    x = 62,348,250,891.39/285,544.82
  6. Step 6: Final answer
    x = 218,348.39

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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.