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Finding the Fourth Proportional to 203,486.80, 305,230.20 and 150,342.70

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Solution

The fourth proportional to 203,486.80, 305,230.20 and 150,342.70 is: 225,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,486.80 : 305,230.20 = 150,342.70 : x
  2. Step 2: Convert to fraction form
    203,486.80/305,230.20 = 150,342.70/x
  3. Step 3: Cross multiply
    203,486.80x = 305,230.20 × 150,342.70
  4. Step 4: Simplify right side
    203,486.80x = 45,889,132,389.54
  5. Step 5: Solve for x
    x = 45,889,132,389.54/203,486.80
  6. Step 6: Final answer
    x = 225,514.05

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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.