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Finding the Fourth Proportional to 285,506.40, 394,002 and 158,184

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Solution

The fourth proportional to 285,506.40, 394,002 and 158,184 is: 218,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,506.40 : 394,002 = 158,184 : x
  2. Step 2: Convert to fraction form
    285,506.40/394,002 = 158,184/x
  3. Step 3: Cross multiply
    285,506.40x = 394,002 × 158,184
  4. Step 4: Simplify right side
    285,506.40x = 62,324,812,368
  5. Step 5: Solve for x
    x = 62,324,812,368/285,506.40
  6. Step 6: Final answer
    x = 218,295.68

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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.