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Finding the Fourth Proportional to 331,384.51, 457,310.64 and 180,481.51

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Solution

The fourth proportional to 331,384.51, 457,310.64 and 180,481.51 is: 249,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,384.51 : 457,310.64 = 180,481.51 : x
  2. Step 2: Convert to fraction form
    331,384.51/457,310.64 = 180,481.51/x
  3. Step 3: Cross multiply
    331,384.51x = 457,310.64 × 180,481.51
  4. Step 4: Simplify right side
    331,384.51x = 82,536,114,846.27
  5. Step 5: Solve for x
    x = 82,536,114,846.27/331,384.51
  6. Step 6: Final answer
    x = 249,064.49

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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.