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Finding the Fourth Proportional to 299,335.38, 413,153.64 and 172,084.92

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Solution

The fourth proportional to 299,335.38, 413,153.64 and 172,084.92 is: 237,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,335.38 : 413,153.64 = 172,084.92 : x
  2. Step 2: Convert to fraction form
    299,335.38/413,153.64 = 172,084.92/x
  3. Step 3: Cross multiply
    299,335.38x = 413,153.64 × 172,084.92
  4. Step 4: Simplify right side
    299,335.38x = 71,097,511,087.11
  5. Step 5: Solve for x
    x = 71,097,511,087.11/299,335.38
  6. Step 6: Final answer
    x = 237,517.90

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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.