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Finding the Fourth Proportional to 215,446.82, 323,192.40 and 82,438.94

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Solution

The fourth proportional to 215,446.82, 323,192.40 and 82,438.94 is: 123,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,446.82 : 323,192.40 = 82,438.94 : x
  2. Step 2: Convert to fraction form
    215,446.82/323,192.40 = 82,438.94/x
  3. Step 3: Cross multiply
    215,446.82x = 323,192.40 × 82,438.94
  4. Step 4: Simplify right side
    215,446.82x = 26,643,638,872.06
  5. Step 5: Solve for x
    x = 26,643,638,872.06/215,446.82
  6. Step 6: Final answer
    x = 123,666.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.