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Finding the Fourth Proportional to 323,765.05, 485,501.78 and 146,180.65

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Solution

The fourth proportional to 323,765.05, 485,501.78 and 146,180.65 is: 219,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,765.05 : 485,501.78 = 146,180.65 : x
  2. Step 2: Convert to fraction form
    323,765.05/485,501.78 = 146,180.65/x
  3. Step 3: Cross multiply
    323,765.05x = 485,501.78 × 146,180.65
  4. Step 4: Simplify right side
    323,765.05x = 70,970,965,045.65
  5. Step 5: Solve for x
    x = 70,970,965,045.65/323,765.05
  6. Step 6: Final answer
    x = 219,205.15

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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.