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Finding the Fourth Proportional to 361,378.45, 498,701.77 and 200,243.94

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Solution

The fourth proportional to 361,378.45, 498,701.77 and 200,243.94 is: 276,336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,378.45 : 498,701.77 = 200,243.94 : x
  2. Step 2: Convert to fraction form
    361,378.45/498,701.77 = 200,243.94/x
  3. Step 3: Cross multiply
    361,378.45x = 498,701.77 × 200,243.94
  4. Step 4: Simplify right side
    361,378.45x = 99,862,007,309.77
  5. Step 5: Solve for x
    x = 99,862,007,309.77/361,378.45
  6. Step 6: Final answer
    x = 276,336.37

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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.