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Finding the Fourth Proportional to 299,669.76, 413,556.86 and 172,345.47

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Solution

The fourth proportional to 299,669.76, 413,556.86 and 172,345.47 is: 237,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,669.76 : 413,556.86 = 172,345.47 : x
  2. Step 2: Convert to fraction form
    299,669.76/413,556.86 = 172,345.47/x
  3. Step 3: Cross multiply
    299,669.76x = 413,556.86 × 172,345.47
  4. Step 4: Simplify right side
    299,669.76x = 71,274,650,546.70
  5. Step 5: Solve for x
    x = 71,274,650,546.70/299,669.76
  6. Step 6: Final answer
    x = 237,843.99

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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.