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Finding the Fourth Proportional to 539,920.20, 809,796.96 and 180,097.38

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Solution

The fourth proportional to 539,920.20, 809,796.96 and 180,097.38 is: 270,118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,920.20 : 809,796.96 = 180,097.38 : x
  2. Step 2: Convert to fraction form
    539,920.20/809,796.96 = 180,097.38/x
  3. Step 3: Cross multiply
    539,920.20x = 809,796.96 × 180,097.38
  4. Step 4: Simplify right side
    539,920.20x = 145,842,310,827.97
  5. Step 5: Solve for x
    x = 145,842,310,827.97/539,920.20
  6. Step 6: Final answer
    x = 270,118.27

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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.