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Finding the Fourth Proportional to 270,928.96, 406,245.30 and 215,127.52

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Solution

The fourth proportional to 270,928.96, 406,245.30 and 215,127.52 is: 322,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,928.96 : 406,245.30 = 215,127.52 : x
  2. Step 2: Convert to fraction form
    270,928.96/406,245.30 = 215,127.52/x
  3. Step 3: Cross multiply
    270,928.96x = 406,245.30 × 215,127.52
  4. Step 4: Simplify right side
    270,928.96x = 87,394,543,900.66
  5. Step 5: Solve for x
    x = 87,394,543,900.66/270,928.96
  6. Step 6: Final answer
    x = 322,573.65

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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.