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Finding the Fourth Proportional to 215,473.74, 323,078.49 and 82,211.10

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Solution

The fourth proportional to 215,473.74, 323,078.49 and 82,211.10 is: 123,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,473.74 : 323,078.49 = 82,211.10 : x
  2. Step 2: Convert to fraction form
    215,473.74/323,078.49 = 82,211.10/x
  3. Step 3: Cross multiply
    215,473.74x = 323,078.49 × 82,211.10
  4. Step 4: Simplify right side
    215,473.74x = 26,560,638,049.24
  5. Step 5: Solve for x
    x = 26,560,638,049.24/215,473.74
  6. Step 6: Final answer
    x = 123,266.24

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1.5x scale

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.