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Finding the Fourth Proportional to 492,287.20, 738,392.40 and 192,709.60

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Solution

The fourth proportional to 492,287.20, 738,392.40 and 192,709.60 is: 289,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,287.20 : 738,392.40 = 192,709.60 : x
  2. Step 2: Convert to fraction form
    492,287.20/738,392.40 = 192,709.60/x
  3. Step 3: Cross multiply
    492,287.20x = 738,392.40 × 192,709.60
  4. Step 4: Simplify right side
    492,287.20x = 142,295,304,047.04
  5. Step 5: Solve for x
    x = 142,295,304,047.04/492,287.20
  6. Step 6: Final answer
    x = 289,049.37

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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.