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Finding the Fourth Proportional to 433,251.24, 649,600 and 208,163.76

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Solution

The fourth proportional to 433,251.24, 649,600 and 208,163.76 is: 312,112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,251.24 : 649,600 = 208,163.76 : x
  2. Step 2: Convert to fraction form
    433,251.24/649,600 = 208,163.76/x
  3. Step 3: Cross multiply
    433,251.24x = 649,600 × 208,163.76
  4. Step 4: Simplify right side
    433,251.24x = 135,223,178,496
  5. Step 5: Solve for x
    x = 135,223,178,496/433,251.24
  6. Step 6: Final answer
    x = 312,112.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.