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Finding the Fourth Proportional to 547,274.70, 820,912.05 and 192,324.60

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Solution

The fourth proportional to 547,274.70, 820,912.05 and 192,324.60 is: 288,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,274.70 : 820,912.05 = 192,324.60 : x
  2. Step 2: Convert to fraction form
    547,274.70/820,912.05 = 192,324.60/x
  3. Step 3: Cross multiply
    547,274.70x = 820,912.05 × 192,324.60
  4. Step 4: Simplify right side
    547,274.70x = 157,881,581,651.43
  5. Step 5: Solve for x
    x = 157,881,581,651.43/547,274.70
  6. Step 6: Final answer
    x = 288,486.90

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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.