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Finding the Fourth Proportional to 331,112, 456,936.18 and 180,209

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Solution

The fourth proportional to 331,112, 456,936.18 and 180,209 is: 248,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,112 : 456,936.18 = 180,209 : x
  2. Step 2: Convert to fraction form
    331,112/456,936.18 = 180,209/x
  3. Step 3: Cross multiply
    331,112x = 456,936.18 × 180,209
  4. Step 4: Simplify right side
    331,112x = 82,344,012,061.62
  5. Step 5: Solve for x
    x = 82,344,012,061.62/331,112
  6. Step 6: Final answer
    x = 248,689.30

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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.