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Finding the Fourth Proportional to 285,574.82, 394,095.58 and 158,252.54

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Solution

The fourth proportional to 285,574.82, 394,095.58 and 158,252.54 is: 218,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,574.82 : 394,095.58 = 158,252.54 : x
  2. Step 2: Convert to fraction form
    285,574.82/394,095.58 = 158,252.54/x
  3. Step 3: Cross multiply
    285,574.82x = 394,095.58 × 158,252.54
  4. Step 4: Simplify right side
    285,574.82x = 62,366,624,171.66
  5. Step 5: Solve for x
    x = 62,366,624,171.66/285,574.82
  6. Step 6: Final answer
    x = 218,389.79

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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.