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Finding the Fourth Proportional to 299,684, 413,575.80 and 172,359.44

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Solution

The fourth proportional to 299,684, 413,575.80 and 172,359.44 is: 237,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,684 : 413,575.80 = 172,359.44 : x
  2. Step 2: Convert to fraction form
    299,684/413,575.80 = 172,359.44/x
  3. Step 3: Cross multiply
    299,684x = 413,575.80 × 172,359.44
  4. Step 4: Simplify right side
    299,684x = 71,283,693,285.55
  5. Step 5: Solve for x
    x = 71,283,693,285.55/299,684
  6. Step 6: Final answer
    x = 237,862.86

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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.