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Finding the Fourth Proportional to 331,219, 457,082.31 and 180,316

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Solution

The fourth proportional to 331,219, 457,082.31 and 180,316 is: 248,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,219 : 457,082.31 = 180,316 : x
  2. Step 2: Convert to fraction form
    331,219/457,082.31 = 180,316/x
  3. Step 3: Cross multiply
    331,219x = 457,082.31 × 180,316
  4. Step 4: Simplify right side
    331,219x = 82,419,253,809.96
  5. Step 5: Solve for x
    x = 82,419,253,809.96/331,219
  6. Step 6: Final answer
    x = 248,836.13

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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.