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Finding the Fourth Proportional to 203,485.30, 305,227.95 and 150,341.20

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Solution

The fourth proportional to 203,485.30, 305,227.95 and 150,341.20 is: 225,511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,485.30 : 305,227.95 = 150,341.20 : x
  2. Step 2: Convert to fraction form
    203,485.30/305,227.95 = 150,341.20/x
  3. Step 3: Cross multiply
    203,485.30x = 305,227.95 × 150,341.20
  4. Step 4: Simplify right side
    203,485.30x = 45,888,336,276.54
  5. Step 5: Solve for x
    x = 45,888,336,276.54/203,485.30
  6. Step 6: Final answer
    x = 225,511.80

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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.