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Finding the Fourth Proportional to 331,409.40, 457,356.42 and 188,164.68

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Solution

The fourth proportional to 331,409.40, 457,356.42 and 188,164.68 is: 259,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,409.40 : 457,356.42 = 188,164.68 : x
  2. Step 2: Convert to fraction form
    331,409.40/457,356.42 = 188,164.68/x
  3. Step 3: Cross multiply
    331,409.40x = 457,356.42 × 188,164.68
  4. Step 4: Simplify right side
    331,409.40x = 86,058,324,415.25
  5. Step 5: Solve for x
    x = 86,058,324,415.25/331,409.40
  6. Step 6: Final answer
    x = 259,673.76

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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.