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Finding the Fourth Proportional to 215,494, 323,240.78 and 57,718.14

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Solution

The fourth proportional to 215,494, 323,240.78 and 57,718.14 is: 86,577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,494 : 323,240.78 = 57,718.14 : x
  2. Step 2: Convert to fraction form
    215,494/323,240.78 = 57,718.14/x
  3. Step 3: Cross multiply
    215,494x = 323,240.78 × 57,718.14
  4. Step 4: Simplify right side
    215,494x = 18,656,856,593.75
  5. Step 5: Solve for x
    x = 18,656,856,593.75/215,494
  6. Step 6: Final answer
    x = 86,577.15

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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.