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Finding the Fourth Proportional to 539,513.85, 809,206.20 and 419,690.52

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Solution

The fourth proportional to 539,513.85, 809,206.20 and 419,690.52 is: 629,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,513.85 : 809,206.20 = 419,690.52 : x
  2. Step 2: Convert to fraction form
    539,513.85/809,206.20 = 419,690.52/x
  3. Step 3: Cross multiply
    539,513.85x = 809,206.20 × 419,690.52
  4. Step 4: Simplify right side
    539,513.85x = 339,616,170,865.22
  5. Step 5: Solve for x
    x = 339,616,170,865.22/539,513.85
  6. Step 6: Final answer
    x = 629,485.55

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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.