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Finding the Fourth Proportional to 465,305.39, 641,957.90 and 304,254.71

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Solution

The fourth proportional to 465,305.39, 641,957.90 and 304,254.71 is: 419,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,305.39 : 641,957.90 = 304,254.71 : x
  2. Step 2: Convert to fraction form
    465,305.39/641,957.90 = 304,254.71/x
  3. Step 3: Cross multiply
    465,305.39x = 641,957.90 × 304,254.71
  4. Step 4: Simplify right side
    465,305.39x = 195,318,709,965.65
  5. Step 5: Solve for x
    x = 195,318,709,965.65/465,305.39
  6. Step 6: Final answer
    x = 419,764.56

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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.