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Finding the Fourth Proportional to 331,678.32, 457,781.40 and 231,018

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Solution

The fourth proportional to 331,678.32, 457,781.40 and 231,018 is: 318,850.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,678.32 : 457,781.40 = 231,018 : x
  2. Step 2: Convert to fraction form
    331,678.32/457,781.40 = 231,018/x
  3. Step 3: Cross multiply
    331,678.32x = 457,781.40 × 231,018
  4. Step 4: Simplify right side
    331,678.32x = 105,755,743,465.20
  5. Step 5: Solve for x
    x = 105,755,743,465.20/331,678.32
  6. Step 6: Final answer
    x = 318,850.34

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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.