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Finding the Fourth Proportional to 270,377.75, 405,537.43 and 90,442.78

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Solution

The fourth proportional to 270,377.75, 405,537.43 and 90,442.78 is: 135,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,377.75 : 405,537.43 = 90,442.78 : x
  2. Step 2: Convert to fraction form
    270,377.75/405,537.43 = 90,442.78/x
  3. Step 3: Cross multiply
    270,377.75x = 405,537.43 × 90,442.78
  4. Step 4: Simplify right side
    270,377.75x = 36,677,930,083.35
  5. Step 5: Solve for x
    x = 36,677,930,083.35/270,377.75
  6. Step 6: Final answer
    x = 135,654.39

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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.