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Finding the Fourth Proportional to 433,322.60, 648,716.70 and 308,906.60

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Solution

The fourth proportional to 433,322.60, 648,716.70 and 308,906.60 is: 462,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,322.60 : 648,716.70 = 308,906.60 : x
  2. Step 2: Convert to fraction form
    433,322.60/648,716.70 = 308,906.60/x
  3. Step 3: Cross multiply
    433,322.60x = 648,716.70 × 308,906.60
  4. Step 4: Simplify right side
    433,322.60x = 200,392,870,160.22
  5. Step 5: Solve for x
    x = 200,392,870,160.22/433,322.60
  6. Step 6: Final answer
    x = 462,456.54

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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.