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Finding the Fourth Proportional to 465,306.39, 641,959.27 and 304,255.71

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Solution

The fourth proportional to 465,306.39, 641,959.27 and 304,255.71 is: 419,765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,306.39 : 641,959.27 = 304,255.71 : x
  2. Step 2: Convert to fraction form
    465,306.39/641,959.27 = 304,255.71/x
  3. Step 3: Cross multiply
    465,306.39x = 641,959.27 × 304,255.71
  4. Step 4: Simplify right side
    465,306.39x = 195,319,773,484.93
  5. Step 5: Solve for x
    x = 195,319,773,484.93/465,306.39
  6. Step 6: Final answer
    x = 419,765.94

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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.