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Finding the Fourth Proportional to 270,318.25, 405,644.13 and 137,293.97

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Solution

The fourth proportional to 270,318.25, 405,644.13 and 137,293.97 is: 206,025.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,318.25 : 405,644.13 = 137,293.97 : x
  2. Step 2: Convert to fraction form
    270,318.25/405,644.13 = 137,293.97/x
  3. Step 3: Cross multiply
    270,318.25x = 405,644.13 × 137,293.97
  4. Step 4: Simplify right side
    270,318.25x = 55,692,492,328.43
  5. Step 5: Solve for x
    x = 55,692,492,328.43/270,318.25
  6. Step 6: Final answer
    x = 206,025.65

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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.