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Finding the Fourth Proportional to 397,716.80, 548,855.79 and 216,436.37

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Solution

The fourth proportional to 397,716.80, 548,855.79 and 216,436.37 is: 298,685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,716.80 : 548,855.79 = 216,436.37 : x
  2. Step 2: Convert to fraction form
    397,716.80/548,855.79 = 216,436.37/x
  3. Step 3: Cross multiply
    397,716.80x = 548,855.79 × 216,436.37
  4. Step 4: Simplify right side
    397,716.80x = 118,792,354,841.08
  5. Step 5: Solve for x
    x = 118,792,354,841.08/397,716.80
  6. Step 6: Final answer
    x = 298,685.79

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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.