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Finding the Fourth Proportional to 299,429.98, 413,296.77 and 172,146.58

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Solution

The fourth proportional to 299,429.98, 413,296.77 and 172,146.58 is: 237,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,429.98 : 413,296.77 = 172,146.58 : x
  2. Step 2: Convert to fraction form
    299,429.98/413,296.77 = 172,146.58/x
  3. Step 3: Cross multiply
    299,429.98x = 413,296.77 × 172,146.58
  4. Step 4: Simplify right side
    299,429.98x = 71,147,625,480.55
  5. Step 5: Solve for x
    x = 71,147,625,480.55/299,429.98
  6. Step 6: Final answer
    x = 237,610.23

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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.