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Finding the Fourth Proportional to 485,843.14, 670,464.70 and 270,997.12

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Solution

The fourth proportional to 485,843.14, 670,464.70 and 270,997.12 is: 373,976.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,843.14 : 670,464.70 = 270,997.12 : x
  2. Step 2: Convert to fraction form
    485,843.14/670,464.70 = 270,997.12/x
  3. Step 3: Cross multiply
    485,843.14x = 670,464.70 × 270,997.12
  4. Step 4: Simplify right side
    485,843.14x = 181,694,002,761.66
  5. Step 5: Solve for x
    x = 181,694,002,761.66/485,843.14
  6. Step 6: Final answer
    x = 373,976.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.