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Finding the Fourth Proportional to 331,672.88, 457,708.74 and 188,433.20

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Solution

The fourth proportional to 331,672.88, 457,708.74 and 188,433.20 is: 260,037.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,672.88 : 457,708.74 = 188,433.20 : x
  2. Step 2: Convert to fraction form
    331,672.88/457,708.74 = 188,433.20/x
  3. Step 3: Cross multiply
    331,672.88x = 457,708.74 × 188,433.20
  4. Step 4: Simplify right side
    331,672.88x = 86,247,522,546.17
  5. Step 5: Solve for x
    x = 86,247,522,546.17/331,672.88
  6. Step 6: Final answer
    x = 260,037.91

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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.