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Finding the Fourth Proportional to 299,859.90, 413,822.07 and 172,554.54

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Solution

The fourth proportional to 299,859.90, 413,822.07 and 172,554.54 is: 238,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,859.90 : 413,822.07 = 172,554.54 : x
  2. Step 2: Convert to fraction form
    299,859.90/413,822.07 = 172,554.54/x
  3. Step 3: Cross multiply
    299,859.90x = 413,822.07 × 172,554.54
  4. Step 4: Simplify right side
    299,859.90x = 71,406,876,930.70
  5. Step 5: Solve for x
    x = 71,406,876,930.70/299,859.90
  6. Step 6: Final answer
    x = 238,134.13

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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.