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Finding the Fourth Proportional to 663,698.25, 995,462.64 and 214,372.44

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Solution

The fourth proportional to 663,698.25, 995,462.64 and 214,372.44 is: 321,531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,698.25 : 995,462.64 = 214,372.44 : x
  2. Step 2: Convert to fraction form
    663,698.25/995,462.64 = 214,372.44/x
  3. Step 3: Cross multiply
    663,698.25x = 995,462.64 × 214,372.44
  4. Step 4: Simplify right side
    663,698.25x = 213,399,755,065.64
  5. Step 5: Solve for x
    x = 213,399,755,065.64/663,698.25
  6. Step 6: Final answer
    x = 321,531.29

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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.