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Finding the Fourth Proportional to 539,494.80, 809,128.80 and 273,004.80

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Solution

The fourth proportional to 539,494.80, 809,128.80 and 273,004.80 is: 409,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,494.80 : 809,128.80 = 273,004.80 : x
  2. Step 2: Convert to fraction form
    539,494.80/809,128.80 = 273,004.80/x
  3. Step 3: Cross multiply
    539,494.80x = 809,128.80 × 273,004.80
  4. Step 4: Simplify right side
    539,494.80x = 220,896,046,218.24
  5. Step 5: Solve for x
    x = 220,896,046,218.24/539,494.80
  6. Step 6: Final answer
    x = 409,449.82

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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.