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Finding the Fourth Proportional to 270,988.27, 406,335.80 and 215,187.37

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Solution

The fourth proportional to 270,988.27, 406,335.80 and 215,187.37 is: 322,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,988.27 : 406,335.80 = 215,187.37 : x
  2. Step 2: Convert to fraction form
    270,988.27/406,335.80 = 215,187.37/x
  3. Step 3: Cross multiply
    270,988.27x = 406,335.80 × 215,187.37
  4. Step 4: Simplify right side
    270,988.27x = 87,438,331,062.91
  5. Step 5: Solve for x
    x = 87,438,331,062.91/270,988.27
  6. Step 6: Final answer
    x = 322,664.63

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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.