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Finding the Fourth Proportional to 331,708.60, 457,758 and 188,468.84

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Solution

The fourth proportional to 331,708.60, 457,758 and 188,468.84 is: 260,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,708.60 : 457,758 = 188,468.84 : x
  2. Step 2: Convert to fraction form
    331,708.60/457,758 = 188,468.84/x
  3. Step 3: Cross multiply
    331,708.60x = 457,758 × 188,468.84
  4. Step 4: Simplify right side
    331,708.60x = 86,273,119,260.72
  5. Step 5: Solve for x
    x = 86,273,119,260.72/331,708.60
  6. Step 6: Final answer
    x = 260,087.07

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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.