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Finding the Fourth Proportional to 643,400.98, 965,249.73 and 222,676.86

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Solution

The fourth proportional to 643,400.98, 965,249.73 and 222,676.86 is: 334,066.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,400.98 : 965,249.73 = 222,676.86 : x
  2. Step 2: Convert to fraction form
    643,400.98/965,249.73 = 222,676.86/x
  3. Step 3: Cross multiply
    643,400.98x = 965,249.73 × 222,676.86
  4. Step 4: Simplify right side
    643,400.98x = 214,938,778,992.25
  5. Step 5: Solve for x
    x = 214,938,778,992.25/643,400.98
  6. Step 6: Final answer
    x = 334,066.60

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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.