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Finding the Fourth Proportional to 547,212.42, 820,900.92 and 192,163.98

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Solution

The fourth proportional to 547,212.42, 820,900.92 and 192,163.98 is: 288,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,212.42 : 820,900.92 = 192,163.98 : x
  2. Step 2: Convert to fraction form
    547,212.42/820,900.92 = 192,163.98/x
  3. Step 3: Cross multiply
    547,212.42x = 820,900.92 × 192,163.98
  4. Step 4: Simplify right side
    547,212.42x = 157,747,587,972.86
  5. Step 5: Solve for x
    x = 157,747,587,972.86/547,212.42
  6. Step 6: Final answer
    x = 288,274.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.