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Finding the Fourth Proportional to 403,761.10, 605,422.95 and 166,836.10

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Solution

The fourth proportional to 403,761.10, 605,422.95 and 166,836.10 is: 250,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,761.10 : 605,422.95 = 166,836.10 : x
  2. Step 2: Convert to fraction form
    403,761.10/605,422.95 = 166,836.10/x
  3. Step 3: Cross multiply
    403,761.10x = 605,422.95 × 166,836.10
  4. Step 4: Simplify right side
    403,761.10x = 101,006,403,828.50
  5. Step 5: Solve for x
    x = 101,006,403,828.50/403,761.10
  6. Step 6: Final answer
    x = 250,163.78

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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.