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Finding the Fourth Proportional to 323,723.10, 485,469.45 and 146,315.10

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Solution

The fourth proportional to 323,723.10, 485,469.45 and 146,315.10 is: 219,420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,723.10 : 485,469.45 = 146,315.10 : x
  2. Step 2: Convert to fraction form
    323,723.10/485,469.45 = 146,315.10/x
  3. Step 3: Cross multiply
    323,723.10x = 485,469.45 × 146,315.10
  4. Step 4: Simplify right side
    323,723.10x = 71,031,511,123.70
  5. Step 5: Solve for x
    x = 71,031,511,123.70/323,723.10
  6. Step 6: Final answer
    x = 219,420.58

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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.