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Finding the Fourth Proportional to 285,850.62, 394,600.47 and 200,146.50

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Solution

The fourth proportional to 285,850.62, 394,600.47 and 200,146.50 is: 276,290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,850.62 : 394,600.47 = 200,146.50 : x
  2. Step 2: Convert to fraction form
    285,850.62/394,600.47 = 200,146.50/x
  3. Step 3: Cross multiply
    285,850.62x = 394,600.47 × 200,146.50
  4. Step 4: Simplify right side
    285,850.62x = 78,977,902,968.86
  5. Step 5: Solve for x
    x = 78,977,902,968.86/285,850.62
  6. Step 6: Final answer
    x = 276,290.82

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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.