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Finding the Fourth Proportional to 213,286.20, 319,929.30 and 210,175.80

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Solution

The fourth proportional to 213,286.20, 319,929.30 and 210,175.80 is: 315,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,286.20 : 319,929.30 = 210,175.80 : x
  2. Step 2: Convert to fraction form
    213,286.20/319,929.30 = 210,175.80/x
  3. Step 3: Cross multiply
    213,286.20x = 319,929.30 × 210,175.80
  4. Step 4: Simplify right side
    213,286.20x = 67,241,396,570.94
  5. Step 5: Solve for x
    x = 67,241,396,570.94/213,286.20
  6. Step 6: Final answer
    x = 315,263.70

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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.