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Finding the Fourth Proportional to 414,606.62, 621,907.88 and 161,912.78

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Solution

The fourth proportional to 414,606.62, 621,907.88 and 161,912.78 is: 242,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,606.62 : 621,907.88 = 161,912.78 : x
  2. Step 2: Convert to fraction form
    414,606.62/621,907.88 = 161,912.78/x
  3. Step 3: Cross multiply
    414,606.62x = 621,907.88 × 161,912.78
  4. Step 4: Simplify right side
    414,606.62x = 100,694,829,835.60
  5. Step 5: Solve for x
    x = 100,694,829,835.60/414,606.62
  6. Step 6: Final answer
    x = 242,868.36

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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.