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Finding the Fourth Proportional to 410,515.70, 615,950.94 and 220,754.27

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Solution

The fourth proportional to 410,515.70, 615,950.94 and 220,754.27 is: 331,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,515.70 : 615,950.94 = 220,754.27 : x
  2. Step 2: Convert to fraction form
    410,515.70/615,950.94 = 220,754.27/x
  3. Step 3: Cross multiply
    410,515.70x = 615,950.94 × 220,754.27
  4. Step 4: Simplify right side
    410,515.70x = 135,973,797,035.76
  5. Step 5: Solve for x
    x = 135,973,797,035.76/410,515.70
  6. Step 6: Final answer
    x = 331,226.79

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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.