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Finding the Fourth Proportional to 498,222.74, 687,540.92 and 271,864.34

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Solution

The fourth proportional to 498,222.74, 687,540.92 and 271,864.34 is: 375,169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,222.74 : 687,540.92 = 271,864.34 : x
  2. Step 2: Convert to fraction form
    498,222.74/687,540.92 = 271,864.34/x
  3. Step 3: Cross multiply
    498,222.74x = 687,540.92 × 271,864.34
  4. Step 4: Simplify right side
    498,222.74x = 186,917,858,438.79
  5. Step 5: Solve for x
    x = 186,917,858,438.79/498,222.74
  6. Step 6: Final answer
    x = 375,169.26

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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.