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Finding the Fourth Proportional to 285,642, 394,198.83 and 158,309.46

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Solution

The fourth proportional to 285,642, 394,198.83 and 158,309.46 is: 218,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,642 : 394,198.83 = 158,309.46 : x
  2. Step 2: Convert to fraction form
    285,642/394,198.83 = 158,309.46/x
  3. Step 3: Cross multiply
    285,642x = 394,198.83 × 158,309.46
  4. Step 4: Simplify right side
    285,642x = 62,405,403,909.93
  5. Step 5: Solve for x
    x = 62,405,403,909.93/285,642
  6. Step 6: Final answer
    x = 218,474.19

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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.