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Finding the Fourth Proportional to 270,538.25, 405,806.98 and 108,505.39

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Solution

The fourth proportional to 270,538.25, 405,806.98 and 108,505.39 is: 162,757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,538.25 : 405,806.98 = 108,505.39 : x
  2. Step 2: Convert to fraction form
    270,538.25/405,806.98 = 108,505.39/x
  3. Step 3: Cross multiply
    270,538.25x = 405,806.98 × 108,505.39
  4. Step 4: Simplify right side
    270,538.25x = 44,032,244,308.18
  5. Step 5: Solve for x
    x = 44,032,244,308.18/270,538.25
  6. Step 6: Final answer
    x = 162,757.93

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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.