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Finding the Fourth Proportional to 270,942.46, 406,265.55 and 215,141.02

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Solution

The fourth proportional to 270,942.46, 406,265.55 and 215,141.02 is: 322,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,942.46 : 406,265.55 = 215,141.02 : x
  2. Step 2: Convert to fraction form
    270,942.46/406,265.55 = 215,141.02/x
  3. Step 3: Cross multiply
    270,942.46x = 406,265.55 × 215,141.02
  4. Step 4: Simplify right side
    270,942.46x = 87,404,384,817.86
  5. Step 5: Solve for x
    x = 87,404,384,817.86/270,942.46
  6. Step 6: Final answer
    x = 322,593.90

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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.