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Finding the Fourth Proportional to 315,469.82, 435,328.09 and 172,229.56

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Solution

The fourth proportional to 315,469.82, 435,328.09 and 172,229.56 is: 237,665.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,469.82 : 435,328.09 = 172,229.56 : x
  2. Step 2: Convert to fraction form
    315,469.82/435,328.09 = 172,229.56/x
  3. Step 3: Cross multiply
    315,469.82x = 435,328.09 × 172,229.56
  4. Step 4: Simplify right side
    315,469.82x = 74,976,363,877.45
  5. Step 5: Solve for x
    x = 74,976,363,877.45/315,469.82
  6. Step 6: Final answer
    x = 237,665.72

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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.