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Finding the Fourth Proportional to 216,965.80, 324,815.10 and 154,757.80

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Solution

The fourth proportional to 216,965.80, 324,815.10 and 154,757.80 is: 231,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,965.80 : 324,815.10 = 154,757.80 : x
  2. Step 2: Convert to fraction form
    216,965.80/324,815.10 = 154,757.80/x
  3. Step 3: Cross multiply
    216,965.80x = 324,815.10 × 154,757.80
  4. Step 4: Simplify right side
    216,965.80x = 50,267,670,282.78
  5. Step 5: Solve for x
    x = 50,267,670,282.78/216,965.80
  6. Step 6: Final answer
    x = 231,684.76

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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.