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Finding the Fourth Proportional to 331,339, 457,252.68 and 180,436

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Solution

The fourth proportional to 331,339, 457,252.68 and 180,436 is: 249,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,339 : 457,252.68 = 180,436 : x
  2. Step 2: Convert to fraction form
    331,339/457,252.68 = 180,436/x
  3. Step 3: Cross multiply
    331,339x = 457,252.68 × 180,436
  4. Step 4: Simplify right side
    331,339x = 82,504,844,568.48
  5. Step 5: Solve for x
    x = 82,504,844,568.48/331,339
  6. Step 6: Final answer
    x = 249,004.33

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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.