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Finding the Fourth Proportional to 331,520, 457,500.82 and 188,282.84

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Solution

The fourth proportional to 331,520, 457,500.82 and 188,282.84 is: 259,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,520 : 457,500.82 = 188,282.84 : x
  2. Step 2: Convert to fraction form
    331,520/457,500.82 = 188,282.84/x
  3. Step 3: Cross multiply
    331,520x = 457,500.82 × 188,282.84
  4. Step 4: Simplify right side
    331,520x = 86,139,553,691.93
  5. Step 5: Solve for x
    x = 86,139,553,691.93/331,520
  6. Step 6: Final answer
    x = 259,832.15

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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.