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Finding the Fourth Proportional to 492,394.40, 738,073.20 and 192,759.20

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Solution

The fourth proportional to 492,394.40, 738,073.20 and 192,759.20 is: 288,935.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,394.40 : 738,073.20 = 192,759.20 : x
  2. Step 2: Convert to fraction form
    492,394.40/738,073.20 = 192,759.20/x
  3. Step 3: Cross multiply
    492,394.40x = 738,073.20 × 192,759.20
  4. Step 4: Simplify right side
    492,394.40x = 142,270,399,573.44
  5. Step 5: Solve for x
    x = 142,270,399,573.44/492,394.40
  6. Step 6: Final answer
    x = 288,935.86

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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.