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Finding the Fourth Proportional to 299,395.64, 413,104.28 and 172,046.63

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Solution

The fourth proportional to 299,395.64, 413,104.28 and 172,046.63 is: 237,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,395.64 : 413,104.28 = 172,046.63 : x
  2. Step 2: Convert to fraction form
    299,395.64/413,104.28 = 172,046.63/x
  3. Step 3: Cross multiply
    299,395.64x = 413,104.28 × 172,046.63
  4. Step 4: Simplify right side
    299,395.64x = 71,073,196,286.82
  5. Step 5: Solve for x
    x = 71,073,196,286.82/299,395.64
  6. Step 6: Final answer
    x = 237,388.89

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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.