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Finding the Fourth Proportional to 215,520.28, 323,280.40 and 82,414

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Solution

The fourth proportional to 215,520.28, 323,280.40 and 82,414 is: 123,620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,520.28 : 323,280.40 = 82,414 : x
  2. Step 2: Convert to fraction form
    215,520.28/323,280.40 = 82,414/x
  3. Step 3: Cross multiply
    215,520.28x = 323,280.40 × 82,414
  4. Step 4: Simplify right side
    215,520.28x = 26,642,830,885.60
  5. Step 5: Solve for x
    x = 26,642,830,885.60/215,520.28
  6. Step 6: Final answer
    x = 123,620.99

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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.