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Finding the Fourth Proportional to 299,378.52, 413,080.69 and 172,029.51

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Solution

The fourth proportional to 299,378.52, 413,080.69 and 172,029.51 is: 237,365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,378.52 : 413,080.69 = 172,029.51 : x
  2. Step 2: Convert to fraction form
    299,378.52/413,080.69 = 172,029.51/x
  3. Step 3: Cross multiply
    299,378.52x = 413,080.69 × 172,029.51
  4. Step 4: Simplify right side
    299,378.52x = 71,062,068,397.06
  5. Step 5: Solve for x
    x = 71,062,068,397.06/299,378.52
  6. Step 6: Final answer
    x = 237,365.29

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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.