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Finding the Fourth Proportional to 498,343.42, 687,704.16 and 271,990.54

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Solution

The fourth proportional to 498,343.42, 687,704.16 and 271,990.54 is: 375,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,343.42 : 687,704.16 = 271,990.54 : x
  2. Step 2: Convert to fraction form
    498,343.42/687,704.16 = 271,990.54/x
  3. Step 3: Cross multiply
    498,343.42x = 687,704.16 × 271,990.54
  4. Step 4: Simplify right side
    498,343.42x = 187,049,025,838.65
  5. Step 5: Solve for x
    x = 187,049,025,838.65/498,343.42
  6. Step 6: Final answer
    x = 375,341.62

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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.