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Finding the Fourth Proportional to 331,408.65, 457,357.15 and 188,182.02

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Solution

The fourth proportional to 331,408.65, 457,357.15 and 188,182.02 is: 259,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,408.65 : 457,357.15 = 188,182.02 : x
  2. Step 2: Convert to fraction form
    331,408.65/457,357.15 = 188,182.02/x
  3. Step 3: Cross multiply
    331,408.65x = 457,357.15 × 188,182.02
  4. Step 4: Simplify right side
    331,408.65x = 86,066,392,348.44
  5. Step 5: Solve for x
    x = 86,066,392,348.44/331,408.65
  6. Step 6: Final answer
    x = 259,698.69

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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.