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Finding the Fourth Proportional to 331,438.56, 457,382.88 and 180,535.56

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Solution

The fourth proportional to 331,438.56, 457,382.88 and 180,535.56 is: 249,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,438.56 : 457,382.88 = 180,535.56 : x
  2. Step 2: Convert to fraction form
    331,438.56/457,382.88 = 180,535.56/x
  3. Step 3: Cross multiply
    331,438.56x = 457,382.88 × 180,535.56
  4. Step 4: Simplify right side
    331,438.56x = 82,573,874,375.21
  5. Step 5: Solve for x
    x = 82,573,874,375.21/331,438.56
  6. Step 6: Final answer
    x = 249,137.80

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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.