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Finding the Fourth Proportional to 331,418, 457,028.48 and 204,068.80

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Solution

The fourth proportional to 331,418, 457,028.48 and 204,068.80 is: 281,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,418 : 457,028.48 = 204,068.80 : x
  2. Step 2: Convert to fraction form
    331,418/457,028.48 = 204,068.80/x
  3. Step 3: Cross multiply
    331,418x = 457,028.48 × 204,068.80
  4. Step 4: Simplify right side
    331,418x = 93,265,253,479.42
  5. Step 5: Solve for x
    x = 93,265,253,479.42/331,418
  6. Step 6: Final answer
    x = 281,412.76

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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.