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Finding the Fourth Proportional to 386,978.73, 580,471.34 and 106,511.37

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Solution

The fourth proportional to 386,978.73, 580,471.34 and 106,511.37 is: 159,767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,978.73 : 580,471.34 = 106,511.37 : x
  2. Step 2: Convert to fraction form
    386,978.73/580,471.34 = 106,511.37/x
  3. Step 3: Cross multiply
    386,978.73x = 580,471.34 × 106,511.37
  4. Step 4: Simplify right side
    386,978.73x = 61,826,797,136.58
  5. Step 5: Solve for x
    x = 61,826,797,136.58/386,978.73
  6. Step 6: Final answer
    x = 159,767.95

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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.