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Finding the Fourth Proportional to 465,296.39, 641,945.50 and 304,245.71

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Solution

The fourth proportional to 465,296.39, 641,945.50 and 304,245.71 is: 419,752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,296.39 : 641,945.50 = 304,245.71 : x
  2. Step 2: Convert to fraction form
    465,296.39/641,945.50 = 304,245.71/x
  3. Step 3: Cross multiply
    465,296.39x = 641,945.50 × 304,245.71
  4. Step 4: Simplify right side
    465,296.39x = 195,309,164,428.81
  5. Step 5: Solve for x
    x = 195,309,164,428.81/465,296.39
  6. Step 6: Final answer
    x = 419,752.16

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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.