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Finding the Fourth Proportional to 407,380.56, 611,069.76 and 229,806.96

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Solution

The fourth proportional to 407,380.56, 611,069.76 and 229,806.96 is: 344,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,380.56 : 611,069.76 = 229,806.96 : x
  2. Step 2: Convert to fraction form
    407,380.56/611,069.76 = 229,806.96/x
  3. Step 3: Cross multiply
    407,380.56x = 611,069.76 × 229,806.96
  4. Step 4: Simplify right side
    407,380.56x = 140,428,083,893.53
  5. Step 5: Solve for x
    x = 140,428,083,893.53/407,380.56
  6. Step 6: Final answer
    x = 344,709.83

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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.