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Finding the Fourth Proportional to 252,262.89, 378,486.62 and 117,391.31

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Solution

The fourth proportional to 252,262.89, 378,486.62 and 117,391.31 is: 176,129.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,262.89 : 378,486.62 = 117,391.31 : x
  2. Step 2: Convert to fraction form
    252,262.89/378,486.62 = 117,391.31/x
  3. Step 3: Cross multiply
    252,262.89x = 378,486.62 × 117,391.31
  4. Step 4: Simplify right side
    252,262.89x = 44,431,040,139.27
  5. Step 5: Solve for x
    x = 44,431,040,139.27/252,262.89
  6. Step 6: Final answer
    x = 176,129.91

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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.