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Finding the Fourth Proportional to 285,993.46, 394,728.42 and 165,154.42

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Solution

The fourth proportional to 285,993.46, 394,728.42 and 165,154.42 is: 227,946.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,993.46 : 394,728.42 = 165,154.42 : x
  2. Step 2: Convert to fraction form
    285,993.46/394,728.42 = 165,154.42/x
  3. Step 3: Cross multiply
    285,993.46x = 394,728.42 × 165,154.42
  4. Step 4: Simplify right side
    285,993.46x = 65,191,143,262.62
  5. Step 5: Solve for x
    x = 65,191,143,262.62/285,993.46
  6. Step 6: Final answer
    x = 227,946.27

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1.5x scale

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.