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Finding the Fourth Proportional to 498,286.80, 746,969.64 and 198,694.50

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Solution

The fourth proportional to 498,286.80, 746,969.64 and 198,694.50 is: 297,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,286.80 : 746,969.64 = 198,694.50 : x
  2. Step 2: Convert to fraction form
    498,286.80/746,969.64 = 198,694.50/x
  3. Step 3: Cross multiply
    498,286.80x = 746,969.64 × 198,694.50
  4. Step 4: Simplify right side
    498,286.80x = 148,418,759,134.98
  5. Step 5: Solve for x
    x = 148,418,759,134.98/498,286.80
  6. Step 6: Final answer
    x = 297,858.10

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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.