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Finding the Fourth Proportional to 663,764, 995,745.84 and 214,334.24

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Solution

The fourth proportional to 663,764, 995,745.84 and 214,334.24 is: 321,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,764 : 995,745.84 = 214,334.24 : x
  2. Step 2: Convert to fraction form
    663,764/995,745.84 = 214,334.24/x
  3. Step 3: Cross multiply
    663,764x = 995,745.84 × 214,334.24
  4. Step 4: Simplify right side
    663,764x = 213,422,427,849.56
  5. Step 5: Solve for x
    x = 213,422,427,849.56/663,764
  6. Step 6: Final answer
    x = 321,533.60

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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.