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Finding the Fourth Proportional to 270,921.96, 406,234.80 and 215,120.52

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Solution

The fourth proportional to 270,921.96, 406,234.80 and 215,120.52 is: 322,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,921.96 : 406,234.80 = 215,120.52 : x
  2. Step 2: Convert to fraction form
    270,921.96/406,234.80 = 215,120.52/x
  3. Step 3: Cross multiply
    270,921.96x = 406,234.80 × 215,120.52
  4. Step 4: Simplify right side
    270,921.96x = 87,389,441,418.10
  5. Step 5: Solve for x
    x = 87,389,441,418.10/270,921.96
  6. Step 6: Final answer
    x = 322,563.15

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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.