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Finding the Fourth Proportional to 539,686, 809,387.84 and 160,504.56

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Solution

The fourth proportional to 539,686, 809,387.84 and 160,504.56 is: 240,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,686 : 809,387.84 = 160,504.56 : x
  2. Step 2: Convert to fraction form
    539,686/809,387.84 = 160,504.56/x
  3. Step 3: Cross multiply
    539,686x = 809,387.84 × 160,504.56
  4. Step 4: Simplify right side
    539,686x = 129,910,439,128.55
  5. Step 5: Solve for x
    x = 129,910,439,128.55/539,686
  6. Step 6: Final answer
    x = 240,714.86

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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.