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Finding the Fourth Proportional to 285,896.99, 394,527.75 and 158,584.43

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Solution

The fourth proportional to 285,896.99, 394,527.75 and 158,584.43 is: 218,840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,896.99 : 394,527.75 = 158,584.43 : x
  2. Step 2: Convert to fraction form
    285,896.99/394,527.75 = 158,584.43/x
  3. Step 3: Cross multiply
    285,896.99x = 394,527.75 × 158,584.43
  4. Step 4: Simplify right side
    285,896.99x = 62,565,958,352.93
  5. Step 5: Solve for x
    x = 62,565,958,352.93/285,896.99
  6. Step 6: Final answer
    x = 218,840.91

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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.