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Finding the Fourth Proportional to 270,940.71, 406,262.93 and 215,139.27

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Solution

The fourth proportional to 270,940.71, 406,262.93 and 215,139.27 is: 322,591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,940.71 : 406,262.93 = 215,139.27 : x
  2. Step 2: Convert to fraction form
    270,940.71/406,262.93 = 215,139.27/x
  3. Step 3: Cross multiply
    270,940.71x = 406,262.93 × 215,139.27
  4. Step 4: Simplify right side
    270,940.71x = 87,403,109,112.56
  5. Step 5: Solve for x
    x = 87,403,109,112.56/270,940.71
  6. Step 6: Final answer
    x = 322,591.28

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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.