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Finding the Fourth Proportional to 331,212, 457,073.64 and 180,310.08

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Solution

The fourth proportional to 331,212, 457,073.64 and 180,310.08 is: 248,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,212 : 457,073.64 = 180,310.08 : x
  2. Step 2: Convert to fraction form
    331,212/457,073.64 = 180,310.08/x
  3. Step 3: Cross multiply
    331,212x = 457,073.64 × 180,310.08
  4. Step 4: Simplify right side
    331,212x = 82,414,984,594.29
  5. Step 5: Solve for x
    x = 82,414,984,594.29/331,212
  6. Step 6: Final answer
    x = 248,828.50

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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.