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Finding the Fourth Proportional to 233,919, 322,788.60 and 138,408.96

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Solution

The fourth proportional to 233,919, 322,788.60 and 138,408.96 is: 190,992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,919 : 322,788.60 = 138,408.96 : x
  2. Step 2: Convert to fraction form
    233,919/322,788.60 = 138,408.96/x
  3. Step 3: Cross multiply
    233,919x = 322,788.60 × 138,408.96
  4. Step 4: Simplify right side
    233,919x = 44,676,834,425.86
  5. Step 5: Solve for x
    x = 44,676,834,425.86/233,919
  6. Step 6: Final answer
    x = 190,992.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.