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Finding the Fourth Proportional to 643,456.48, 965,449.60 and 223,027.60

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Solution

The fourth proportional to 643,456.48, 965,449.60 and 223,027.60 is: 334,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,456.48 : 965,449.60 = 223,027.60 : x
  2. Step 2: Convert to fraction form
    643,456.48/965,449.60 = 223,027.60/x
  3. Step 3: Cross multiply
    643,456.48x = 965,449.60 × 223,027.60
  4. Step 4: Simplify right side
    643,456.48x = 215,321,907,208.96
  5. Step 5: Solve for x
    x = 215,321,907,208.96/643,456.48
  6. Step 6: Final answer
    x = 334,633.21

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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.