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Finding the Fourth Proportional to 299,394.88, 413,103.24 and 172,045.87

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Solution

The fourth proportional to 299,394.88, 413,103.24 and 172,045.87 is: 237,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,394.88 : 413,103.24 = 172,045.87 : x
  2. Step 2: Convert to fraction form
    299,394.88/413,103.24 = 172,045.87/x
  3. Step 3: Cross multiply
    299,394.88x = 413,103.24 × 172,045.87
  4. Step 4: Simplify right side
    299,394.88x = 71,072,707,616.57
  5. Step 5: Solve for x
    x = 71,072,707,616.57/299,394.88
  6. Step 6: Final answer
    x = 237,387.85

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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.