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Finding the Fourth Proportional to 306,344.43, 422,751.54 and 172,208.43

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Solution

The fourth proportional to 306,344.43, 422,751.54 and 172,208.43 is: 237,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,344.43 : 422,751.54 = 172,208.43 : x
  2. Step 2: Convert to fraction form
    306,344.43/422,751.54 = 172,208.43/x
  3. Step 3: Cross multiply
    306,344.43x = 422,751.54 × 172,208.43
  4. Step 4: Simplify right side
    306,344.43x = 72,801,378,983.48
  5. Step 5: Solve for x
    x = 72,801,378,983.48/306,344.43
  6. Step 6: Final answer
    x = 237,645.51

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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.