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Finding the Fourth Proportional to 412,620.87, 618,805.15 and 285,355.38

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Solution

The fourth proportional to 412,620.87, 618,805.15 and 285,355.38 is: 427,945.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,620.87 : 618,805.15 = 285,355.38 : x
  2. Step 2: Convert to fraction form
    412,620.87/618,805.15 = 285,355.38/x
  3. Step 3: Cross multiply
    412,620.87x = 618,805.15 × 285,355.38
  4. Step 4: Simplify right side
    412,620.87x = 176,579,378,724.21
  5. Step 5: Solve for x
    x = 176,579,378,724.21/412,620.87
  6. Step 6: Final answer
    x = 427,945.83

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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.