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Finding the Fourth Proportional to 206,311.66, 309,434.29 and 56,516.94

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Solution

The fourth proportional to 206,311.66, 309,434.29 and 56,516.94 is: 84,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,311.66 : 309,434.29 = 56,516.94 : x
  2. Step 2: Convert to fraction form
    206,311.66/309,434.29 = 56,516.94/x
  3. Step 3: Cross multiply
    206,311.66x = 309,434.29 × 56,516.94
  4. Step 4: Simplify right side
    206,311.66x = 17,488,279,378.49
  5. Step 5: Solve for x
    x = 17,488,279,378.49/206,311.66
  6. Step 6: Final answer
    x = 84,766.32

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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.