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Finding the Fourth Proportional to 443,597.20, 665,745.24 and 206,818

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Solution

The fourth proportional to 443,597.20, 665,745.24 and 206,818 is: 310,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,597.20 : 665,745.24 = 206,818 : x
  2. Step 2: Convert to fraction form
    443,597.20/665,745.24 = 206,818/x
  3. Step 3: Cross multiply
    443,597.20x = 665,745.24 × 206,818
  4. Step 4: Simplify right side
    443,597.20x = 137,688,099,046.32
  5. Step 5: Solve for x
    x = 137,688,099,046.32/443,597.20
  6. Step 6: Final answer
    x = 310,389.92

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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.