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Finding the Fourth Proportional to 539,415, 809,161.38 and 206,991

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Solution

The fourth proportional to 539,415, 809,161.38 and 206,991 is: 310,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,415 : 809,161.38 = 206,991 : x
  2. Step 2: Convert to fraction form
    539,415/809,161.38 = 206,991/x
  3. Step 3: Cross multiply
    539,415x = 809,161.38 × 206,991
  4. Step 4: Simplify right side
    539,415x = 167,489,123,207.58
  5. Step 5: Solve for x
    x = 167,489,123,207.58/539,415
  6. Step 6: Final answer
    x = 310,501.42

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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.