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Finding the Fourth Proportional to 331,643.50, 457,680.31 and 188,427.80

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Solution

The fourth proportional to 331,643.50, 457,680.31 and 188,427.80 is: 260,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,643.50 : 457,680.31 = 188,427.80 : x
  2. Step 2: Convert to fraction form
    331,643.50/457,680.31 = 188,427.80/x
  3. Step 3: Cross multiply
    331,643.50x = 457,680.31 × 188,427.80
  4. Step 4: Simplify right side
    331,643.50x = 86,239,694,589.75
  5. Step 5: Solve for x
    x = 86,239,694,589.75/331,643.50
  6. Step 6: Final answer
    x = 260,037.35

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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.