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Finding the Fourth Proportional to 299,761.72, 413,686.92 and 172,456.45

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Solution

The fourth proportional to 299,761.72, 413,686.92 and 172,456.45 is: 237,998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,761.72 : 413,686.92 = 172,456.45 : x
  2. Step 2: Convert to fraction form
    299,761.72/413,686.92 = 172,456.45/x
  3. Step 3: Cross multiply
    299,761.72x = 413,686.92 × 172,456.45
  4. Step 4: Simplify right side
    299,761.72x = 71,342,977,634.63
  5. Step 5: Solve for x
    x = 71,342,977,634.63/299,761.72
  6. Step 6: Final answer
    x = 237,998.96

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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.