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Finding the Fourth Proportional to 371,761.50, 512,796.75 and 296,489.82

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Solution

The fourth proportional to 371,761.50, 512,796.75 and 296,489.82 is: 408,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,761.50 : 512,796.75 = 296,489.82 : x
  2. Step 2: Convert to fraction form
    371,761.50/512,796.75 = 296,489.82/x
  3. Step 3: Cross multiply
    371,761.50x = 512,796.75 × 296,489.82
  4. Step 4: Simplify right side
    371,761.50x = 152,039,016,104.09
  5. Step 5: Solve for x
    x = 152,039,016,104.09/371,761.50
  6. Step 6: Final answer
    x = 408,969.23

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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.