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Finding the Fourth Proportional to 412,993.81, 619,359.45 and 280,724.05

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Solution

The fourth proportional to 412,993.81, 619,359.45 and 280,724.05 is: 420,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,993.81 : 619,359.45 = 280,724.05 : x
  2. Step 2: Convert to fraction form
    412,993.81/619,359.45 = 280,724.05/x
  3. Step 3: Cross multiply
    412,993.81x = 619,359.45 × 280,724.05
  4. Step 4: Simplify right side
    412,993.81x = 173,869,093,209.77
  5. Step 5: Solve for x
    x = 173,869,093,209.77/412,993.81
  6. Step 6: Final answer
    x = 420,996.85

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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.