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Finding the Fourth Proportional to 203,485.30, 305,227.95 and 133,405.30

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Solution

The fourth proportional to 203,485.30, 305,227.95 and 133,405.30 is: 200,107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,485.30 : 305,227.95 = 133,405.30 : x
  2. Step 2: Convert to fraction form
    203,485.30/305,227.95 = 133,405.30/x
  3. Step 3: Cross multiply
    203,485.30x = 305,227.95 × 133,405.30
  4. Step 4: Simplify right side
    203,485.30x = 40,719,026,238.14
  5. Step 5: Solve for x
    x = 40,719,026,238.14/203,485.30
  6. Step 6: Final answer
    x = 200,107.95

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1.5x scale

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.