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Finding the Fourth Proportional to 492,242.40, 738,468.09 and 155,380.41

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Solution

The fourth proportional to 492,242.40, 738,468.09 and 155,380.41 is: 233,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,242.40 : 738,468.09 = 155,380.41 : x
  2. Step 2: Convert to fraction form
    492,242.40/738,468.09 = 155,380.41/x
  3. Step 3: Cross multiply
    492,242.40x = 738,468.09 × 155,380.41
  4. Step 4: Simplify right side
    492,242.40x = 114,743,474,596.12
  5. Step 5: Solve for x
    x = 114,743,474,596.12/492,242.40
  6. Step 6: Final answer
    x = 233,103.60

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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.