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Finding the Fourth Proportional to 539,542.80, 809,970.30 and 273,166.20

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Solution

The fourth proportional to 539,542.80, 809,970.30 and 273,166.20 is: 410,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,542.80 : 809,970.30 = 273,166.20 : x
  2. Step 2: Convert to fraction form
    539,542.80/809,970.30 = 273,166.20/x
  3. Step 3: Cross multiply
    539,542.80x = 809,970.30 × 273,166.20
  4. Step 4: Simplify right side
    539,542.80x = 221,256,508,963.86
  5. Step 5: Solve for x
    x = 221,256,508,963.86/539,542.80
  6. Step 6: Final answer
    x = 410,081.48

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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.