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Finding the Fourth Proportional to 539,103.83, 806,972.96 and 397,109.21

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Solution

The fourth proportional to 539,103.83, 806,972.96 and 397,109.21 is: 594,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,103.83 : 806,972.96 = 397,109.21 : x
  2. Step 2: Convert to fraction form
    539,103.83/806,972.96 = 397,109.21/x
  3. Step 3: Cross multiply
    539,103.83x = 806,972.96 × 397,109.21
  4. Step 4: Simplify right side
    539,103.83x = 320,456,388,616.55
  5. Step 5: Solve for x
    x = 320,456,388,616.55/539,103.83
  6. Step 6: Final answer
    x = 594,424.25

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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.