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Finding the Fourth Proportional to 261,203.82, 391,805.80 and 172,436.54

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Solution

The fourth proportional to 261,203.82, 391,805.80 and 172,436.54 is: 258,654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,203.82 : 391,805.80 = 172,436.54 : x
  2. Step 2: Convert to fraction form
    261,203.82/391,805.80 = 172,436.54/x
  3. Step 3: Cross multiply
    261,203.82x = 391,805.80 × 172,436.54
  4. Step 4: Simplify right side
    261,203.82x = 67,561,636,503.93
  5. Step 5: Solve for x
    x = 67,561,636,503.93/261,203.82
  6. Step 6: Final answer
    x = 258,654.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.