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Finding the Fourth Proportional to 397,694.02, 548,817.81 and 218,846.02

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Solution

The fourth proportional to 397,694.02, 548,817.81 and 218,846.02 is: 302,007.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,694.02 : 548,817.81 = 218,846.02 : x
  2. Step 2: Convert to fraction form
    397,694.02/548,817.81 = 218,846.02/x
  3. Step 3: Cross multiply
    397,694.02x = 548,817.81 × 218,846.02
  4. Step 4: Simplify right side
    397,694.02x = 120,106,593,423.62
  5. Step 5: Solve for x
    x = 120,106,593,423.62/397,694.02
  6. Step 6: Final answer
    x = 302,007.54

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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.