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Finding the Fourth Proportional to 492,242.20, 738,147.30 and 225,914.20

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Solution

The fourth proportional to 492,242.20, 738,147.30 and 225,914.20 is: 338,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,242.20 : 738,147.30 = 225,914.20 : x
  2. Step 2: Convert to fraction form
    492,242.20/738,147.30 = 225,914.20/x
  3. Step 3: Cross multiply
    492,242.20x = 738,147.30 × 225,914.20
  4. Step 4: Simplify right side
    492,242.20x = 166,757,956,761.66
  5. Step 5: Solve for x
    x = 166,757,956,761.66/492,242.20
  6. Step 6: Final answer
    x = 338,772.17

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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.