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Finding the Fourth Proportional to 386,589.44, 579,212.80 and 209,218.56

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Solution

The fourth proportional to 386,589.44, 579,212.80 and 209,218.56 is: 313,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,589.44 : 579,212.80 = 209,218.56 : x
  2. Step 2: Convert to fraction form
    386,589.44/579,212.80 = 209,218.56/x
  3. Step 3: Cross multiply
    386,589.44x = 579,212.80 × 209,218.56
  4. Step 4: Simplify right side
    386,589.44x = 121,182,067,949.57
  5. Step 5: Solve for x
    x = 121,182,067,949.57/386,589.44
  6. Step 6: Final answer
    x = 313,464.51

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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.