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Finding the Fourth Proportional to 200,790.45, 301,331.34 and 161,818.11

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Solution

The fourth proportional to 200,790.45, 301,331.34 and 161,818.11 is: 242,844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,790.45 : 301,331.34 = 161,818.11 : x
  2. Step 2: Convert to fraction form
    200,790.45/301,331.34 = 161,818.11/x
  3. Step 3: Cross multiply
    200,790.45x = 301,331.34 × 161,818.11
  4. Step 4: Simplify right side
    200,790.45x = 48,760,867,922.57
  5. Step 5: Solve for x
    x = 48,760,867,922.57/200,790.45
  6. Step 6: Final answer
    x = 242,844.56

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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.