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Finding the Fourth Proportional to 304,391.43, 420,177.92 and 272,504.97

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Solution

The fourth proportional to 304,391.43, 420,177.92 and 272,504.97 is: 376,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,391.43 : 420,177.92 = 272,504.97 : x
  2. Step 2: Convert to fraction form
    304,391.43/420,177.92 = 272,504.97/x
  3. Step 3: Cross multiply
    304,391.43x = 420,177.92 × 272,504.97
  4. Step 4: Simplify right side
    304,391.43x = 114,500,570,121.74
  5. Step 5: Solve for x
    x = 114,500,570,121.74/304,391.43
  6. Step 6: Final answer
    x = 376,162.27

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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.