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Finding the Fourth Proportional to 300,530, 414,744.36 and 166,394

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Solution

The fourth proportional to 300,530, 414,744.36 and 166,394 is: 229,630.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,530 : 414,744.36 = 166,394 : x
  2. Step 2: Convert to fraction form
    300,530/414,744.36 = 166,394/x
  3. Step 3: Cross multiply
    300,530x = 414,744.36 × 166,394
  4. Step 4: Simplify right side
    300,530x = 69,010,973,037.84
  5. Step 5: Solve for x
    x = 69,010,973,037.84/300,530
  6. Step 6: Final answer
    x = 229,630.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.