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Finding the Fourth Proportional to 299,662.48, 413,546.79 and 172,338.17

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Solution

The fourth proportional to 299,662.48, 413,546.79 and 172,338.17 is: 237,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,662.48 : 413,546.79 = 172,338.17 : x
  2. Step 2: Convert to fraction form
    299,662.48/413,546.79 = 172,338.17/x
  3. Step 3: Cross multiply
    299,662.48x = 413,546.79 × 172,338.17
  4. Step 4: Simplify right side
    299,662.48x = 71,269,896,997.97
  5. Step 5: Solve for x
    x = 71,269,896,997.97/299,662.48
  6. Step 6: Final answer
    x = 237,833.90

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1.5x scale

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.