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Finding the Fourth Proportional to 285,771.84, 394,369.92 and 158,452.80

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Solution

The fourth proportional to 285,771.84, 394,369.92 and 158,452.80 is: 218,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,771.84 : 394,369.92 = 158,452.80 : x
  2. Step 2: Convert to fraction form
    285,771.84/394,369.92 = 158,452.80/x
  3. Step 3: Cross multiply
    285,771.84x = 394,369.92 × 158,452.80
  4. Step 4: Simplify right side
    285,771.84x = 62,489,018,059.78
  5. Step 5: Solve for x
    x = 62,489,018,059.78/285,771.84
  6. Step 6: Final answer
    x = 218,667.51

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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.