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Finding the Fourth Proportional to 331,642.91, 457,668.73 and 188,410.81

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Solution

The fourth proportional to 331,642.91, 457,668.73 and 188,410.81 is: 260,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,642.91 : 457,668.73 = 188,410.81 : x
  2. Step 2: Convert to fraction form
    331,642.91/457,668.73 = 188,410.81/x
  3. Step 3: Cross multiply
    331,642.91x = 457,668.73 × 188,410.81
  4. Step 4: Simplify right side
    331,642.91x = 86,229,736,080.44
  5. Step 5: Solve for x
    x = 86,229,736,080.44/331,642.91
  6. Step 6: Final answer
    x = 260,007.78

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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.