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Finding the Fourth Proportional to 310,806.54, 428,500.08 and 203,191.56

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Solution

The fourth proportional to 310,806.54, 428,500.08 and 203,191.56 is: 280,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,806.54 : 428,500.08 = 203,191.56 : x
  2. Step 2: Convert to fraction form
    310,806.54/428,500.08 = 203,191.56/x
  3. Step 3: Cross multiply
    310,806.54x = 428,500.08 × 203,191.56
  4. Step 4: Simplify right side
    310,806.54x = 87,067,599,715.32
  5. Step 5: Solve for x
    x = 87,067,599,715.32/310,806.54
  6. Step 6: Final answer
    x = 280,134.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.