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Finding the Fourth Proportional to 285,527.98, 394,028.40 and 158,203.27

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Solution

The fourth proportional to 285,527.98, 394,028.40 and 158,203.27 is: 218,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,527.98 : 394,028.40 = 158,203.27 : x
  2. Step 2: Convert to fraction form
    285,527.98/394,028.40 = 158,203.27/x
  3. Step 3: Cross multiply
    285,527.98x = 394,028.40 × 158,203.27
  4. Step 4: Simplify right side
    285,527.98x = 62,336,581,352.87
  5. Step 5: Solve for x
    x = 62,336,581,352.87/285,527.98
  6. Step 6: Final answer
    x = 218,320.39

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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.