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Finding the Fourth Proportional to 312,882.78, 468,202.98 and 270,907.64

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Solution

The fourth proportional to 312,882.78, 468,202.98 and 270,907.64 is: 405,390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,882.78 : 468,202.98 = 270,907.64 : x
  2. Step 2: Convert to fraction form
    312,882.78/468,202.98 = 270,907.64/x
  3. Step 3: Cross multiply
    312,882.78x = 468,202.98 × 270,907.64
  4. Step 4: Simplify right side
    312,882.78x = 126,839,764,352.77
  5. Step 5: Solve for x
    x = 126,839,764,352.77/312,882.78
  6. Step 6: Final answer
    x = 405,390.68

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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.