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Finding the Fourth Proportional to 324,436, 447,596.40 and 203,527.84

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Solution

The fourth proportional to 324,436, 447,596.40 and 203,527.84 is: 280,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,436 : 447,596.40 = 203,527.84 : x
  2. Step 2: Convert to fraction form
    324,436/447,596.40 = 203,527.84/x
  3. Step 3: Cross multiply
    324,436x = 447,596.40 × 203,527.84
  4. Step 4: Simplify right side
    324,436x = 91,098,328,483.78
  5. Step 5: Solve for x
    x = 91,098,328,483.78/324,436
  6. Step 6: Final answer
    x = 280,789.83

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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.