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Finding the Fourth Proportional to 498,231, 687,573.36 and 271,891.08

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Solution

The fourth proportional to 498,231, 687,573.36 and 271,891.08 is: 375,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,231 : 687,573.36 = 271,891.08 : x
  2. Step 2: Convert to fraction form
    498,231/687,573.36 = 271,891.08/x
  3. Step 3: Cross multiply
    498,231x = 687,573.36 × 271,891.08
  4. Step 4: Simplify right side
    498,231x = 186,945,063,429.63
  5. Step 5: Solve for x
    x = 186,945,063,429.63/498,231
  6. Step 6: Final answer
    x = 375,217.65

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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.