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Finding the Fourth Proportional to 412,329.87, 618,732.68 and 222,790.77

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Solution

The fourth proportional to 412,329.87, 618,732.68 and 222,790.77 is: 334,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,329.87 : 618,732.68 = 222,790.77 : x
  2. Step 2: Convert to fraction form
    412,329.87/618,732.68 = 222,790.77/x
  3. Step 3: Cross multiply
    412,329.87x = 618,732.68 × 222,790.77
  4. Step 4: Simplify right side
    412,329.87x = 137,847,929,087.41
  5. Step 5: Solve for x
    x = 137,847,929,087.41/412,329.87
  6. Step 6: Final answer
    x = 334,314.68

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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.