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Finding the Fourth Proportional to 331,287.42, 457,279.83 and 188,142.78

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Solution

The fourth proportional to 331,287.42, 457,279.83 and 188,142.78 is: 259,695.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,287.42 : 457,279.83 = 188,142.78 : x
  2. Step 2: Convert to fraction form
    331,287.42/457,279.83 = 188,142.78/x
  3. Step 3: Cross multiply
    331,287.42x = 457,279.83 × 188,142.78
  4. Step 4: Simplify right side
    331,287.42x = 86,033,898,454.13
  5. Step 5: Solve for x
    x = 86,033,898,454.13/331,287.42
  6. Step 6: Final answer
    x = 259,695.64

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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.