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Finding the Fourth Proportional to 299,519.04, 413,321.76 and 172,165.44

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Solution

The fourth proportional to 299,519.04, 413,321.76 and 172,165.44 is: 237,579.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,519.04 : 413,321.76 = 172,165.44 : x
  2. Step 2: Convert to fraction form
    299,519.04/413,321.76 = 172,165.44/x
  3. Step 3: Cross multiply
    299,519.04x = 413,321.76 × 172,165.44
  4. Step 4: Simplify right side
    299,519.04x = 71,159,722,671.97
  5. Step 5: Solve for x
    x = 71,159,722,671.97/299,519.04
  6. Step 6: Final answer
    x = 237,579.96

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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.