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Finding the Fourth Proportional to 299,736, 413,647.56 and 172,411.44

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Solution

The fourth proportional to 299,736, 413,647.56 and 172,411.44 is: 237,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,736 : 413,647.56 = 172,411.44 : x
  2. Step 2: Convert to fraction form
    299,736/413,647.56 = 172,411.44/x
  3. Step 3: Cross multiply
    299,736x = 413,647.56 × 172,411.44
  4. Step 4: Simplify right side
    299,736x = 71,317,571,472.09
  5. Step 5: Solve for x
    x = 71,317,571,472.09/299,736
  6. Step 6: Final answer
    x = 237,934.62

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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.