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Finding the Fourth Proportional to 299,893.18, 413,785.92 and 172,568.78

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Solution

The fourth proportional to 299,893.18, 413,785.92 and 172,568.78 is: 238,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,893.18 : 413,785.92 = 172,568.78 : x
  2. Step 2: Convert to fraction form
    299,893.18/413,785.92 = 172,568.78/x
  3. Step 3: Cross multiply
    299,893.18x = 413,785.92 × 172,568.78
  4. Step 4: Simplify right side
    299,893.18x = 71,406,531,395.58
  5. Step 5: Solve for x
    x = 71,406,531,395.58/299,893.18
  6. Step 6: Final answer
    x = 238,106.55

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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.