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Finding the Fourth Proportional to 331,276.98, 457,146 and 188,034.96

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Solution

The fourth proportional to 331,276.98, 457,146 and 188,034.96 is: 259,479.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,276.98 : 457,146 = 188,034.96 : x
  2. Step 2: Convert to fraction form
    331,276.98/457,146 = 188,034.96/x
  3. Step 3: Cross multiply
    331,276.98x = 457,146 × 188,034.96
  4. Step 4: Simplify right side
    331,276.98x = 85,959,429,824.16
  5. Step 5: Solve for x
    x = 85,959,429,824.16/331,276.98
  6. Step 6: Final answer
    x = 259,479.03

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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.