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Finding the Fourth Proportional to 323,791.32, 485,745.42 and 146,381.88

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Solution

The fourth proportional to 323,791.32, 485,745.42 and 146,381.88 is: 219,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,791.32 : 485,745.42 = 146,381.88 : x
  2. Step 2: Convert to fraction form
    323,791.32/485,745.42 = 146,381.88/x
  3. Step 3: Cross multiply
    323,791.32x = 485,745.42 × 146,381.88
  4. Step 4: Simplify right side
    323,791.32x = 71,104,327,780.99
  5. Step 5: Solve for x
    x = 71,104,327,780.99/323,791.32
  6. Step 6: Final answer
    x = 219,599.24

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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.