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Finding the Fourth Proportional to 312,374,576.80, 468,561,865.20 and 231,753,008.80

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Solution

The fourth proportional to 312,374,576.80, 468,561,865.20 and 231,753,008.80 is: 347,629,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,374,576.80 : 468,561,865.20 = 231,753,008.80 : x
  2. Step 2: Convert to fraction form
    312,374,576.80/468,561,865.20 = 231,753,008.80/x
  3. Step 3: Cross multiply
    312,374,576.80x = 468,561,865.20 × 231,753,008.80
  4. Step 4: Simplify right side
    312,374,576.80x = 108,590,622,069,040,016
  5. Step 5: Solve for x
    x = 108,590,622,069,040,016/312,374,576.80
  6. Step 6: Final answer
    x = 347,629,513.20

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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.