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Finding the Fourth Proportional to 539,622, 809,472.24 and 207,198

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Solution

The fourth proportional to 539,622, 809,472.24 and 207,198 is: 310,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,622 : 809,472.24 = 207,198 : x
  2. Step 2: Convert to fraction form
    539,622/809,472.24 = 207,198/x
  3. Step 3: Cross multiply
    539,622x = 809,472.24 × 207,198
  4. Step 4: Simplify right side
    539,622x = 167,721,029,183.52
  5. Step 5: Solve for x
    x = 167,721,029,183.52/539,622
  6. Step 6: Final answer
    x = 310,812.07

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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.