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Finding the Fourth Proportional to 491,868.81, 678,761.03 and 274,066.23

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Solution

The fourth proportional to 491,868.81, 678,761.03 and 274,066.23 is: 378,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,868.81 : 678,761.03 = 274,066.23 : x
  2. Step 2: Convert to fraction form
    491,868.81/678,761.03 = 274,066.23/x
  3. Step 3: Cross multiply
    491,868.81x = 678,761.03 × 274,066.23
  4. Step 4: Simplify right side
    491,868.81x = 186,025,471,798.88
  5. Step 5: Solve for x
    x = 186,025,471,798.88/491,868.81
  6. Step 6: Final answer
    x = 378,201.40

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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.