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Finding the Fourth Proportional to 389,682, 537,761.52 and 219,912.48

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Solution

The fourth proportional to 389,682, 537,761.52 and 219,912.48 is: 303,479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,682 : 537,761.52 = 219,912.48 : x
  2. Step 2: Convert to fraction form
    389,682/537,761.52 = 219,912.48/x
  3. Step 3: Cross multiply
    389,682x = 537,761.52 × 219,912.48
  4. Step 4: Simplify right side
    389,682x = 118,260,469,511.77
  5. Step 5: Solve for x
    x = 118,260,469,511.77/389,682
  6. Step 6: Final answer
    x = 303,479.43

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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.