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Finding the Fourth Proportional to 539,306.92, 809,064.42 and 206,857

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Solution

The fourth proportional to 539,306.92, 809,064.42 and 206,857 is: 310,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,306.92 : 809,064.42 = 206,857 : x
  2. Step 2: Convert to fraction form
    539,306.92/809,064.42 = 206,857/x
  3. Step 3: Cross multiply
    539,306.92x = 809,064.42 × 206,857
  4. Step 4: Simplify right side
    539,306.92x = 167,360,638,727.94
  5. Step 5: Solve for x
    x = 167,360,638,727.94/539,306.92
  6. Step 6: Final answer
    x = 310,325.41

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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.