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Finding the Fourth Proportional to 370,406.45, 511,163.36 and 200,640.58

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Solution

The fourth proportional to 370,406.45, 511,163.36 and 200,640.58 is: 276,885.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,406.45 : 511,163.36 = 200,640.58 : x
  2. Step 2: Convert to fraction form
    370,406.45/511,163.36 = 200,640.58/x
  3. Step 3: Cross multiply
    370,406.45x = 511,163.36 × 200,640.58
  4. Step 4: Simplify right side
    370,406.45x = 102,560,111,496.44
  5. Step 5: Solve for x
    x = 102,560,111,496.44/370,406.45
  6. Step 6: Final answer
    x = 276,885.33

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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.