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Finding the Fourth Proportional to 491,869.06, 678,761.37 and 274,066.48

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Solution

The fourth proportional to 491,869.06, 678,761.37 and 274,066.48 is: 378,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,869.06 : 678,761.37 = 274,066.48 : x
  2. Step 2: Convert to fraction form
    491,869.06/678,761.37 = 274,066.48/x
  3. Step 3: Cross multiply
    491,869.06x = 678,761.37 × 274,066.48
  4. Step 4: Simplify right side
    491,869.06x = 186,025,736,042.07
  5. Step 5: Solve for x
    x = 186,025,736,042.07/491,869.06
  6. Step 6: Final answer
    x = 378,201.75

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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.