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Finding the Fourth Proportional to 213,110.40, 319,838.40 and 206,198.40

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Solution

The fourth proportional to 213,110.40, 319,838.40 and 206,198.40 is: 309,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,110.40 : 319,838.40 = 206,198.40 : x
  2. Step 2: Convert to fraction form
    213,110.40/319,838.40 = 206,198.40/x
  3. Step 3: Cross multiply
    213,110.40x = 319,838.40 × 206,198.40
  4. Step 4: Simplify right side
    213,110.40x = 65,950,166,338.56
  5. Step 5: Solve for x
    x = 65,950,166,338.56/213,110.40
  6. Step 6: Final answer
    x = 309,464.80

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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.