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Finding the Fourth Proportional to 270,229.52, 405,206.50 and 90,250.15

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Solution

The fourth proportional to 270,229.52, 405,206.50 and 90,250.15 is: 135,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,229.52 : 405,206.50 = 90,250.15 : x
  2. Step 2: Convert to fraction form
    270,229.52/405,206.50 = 90,250.15/x
  3. Step 3: Cross multiply
    270,229.52x = 405,206.50 × 90,250.15
  4. Step 4: Simplify right side
    270,229.52x = 36,569,947,096.31
  5. Step 5: Solve for x
    x = 36,569,947,096.31/270,229.52
  6. Step 6: Final answer
    x = 135,329.21

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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.