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Finding the Fourth Proportional to 275,486.87, 413,389.82 and 115,548.57

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Solution

The fourth proportional to 275,486.87, 413,389.82 and 115,548.57 is: 173,389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,486.87 : 413,389.82 = 115,548.57 : x
  2. Step 2: Convert to fraction form
    275,486.87/413,389.82 = 115,548.57/x
  3. Step 3: Cross multiply
    275,486.87x = 413,389.82 × 115,548.57
  4. Step 4: Simplify right side
    275,486.87x = 47,766,602,842.43
  5. Step 5: Solve for x
    x = 47,766,602,842.43/275,486.87
  6. Step 6: Final answer
    x = 173,389.76

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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.