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Finding the Fourth Proportional to 206,408.53, 309,613.07 and 56,650.87

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Solution

The fourth proportional to 206,408.53, 309,613.07 and 56,650.87 is: 84,976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,408.53 : 309,613.07 = 56,650.87 : x
  2. Step 2: Convert to fraction form
    206,408.53/309,613.07 = 56,650.87/x
  3. Step 3: Cross multiply
    206,408.53x = 309,613.07 × 56,650.87
  4. Step 4: Simplify right side
    206,408.53x = 17,539,849,778.87
  5. Step 5: Solve for x
    x = 17,539,849,778.87/206,408.53
  6. Step 6: Final answer
    x = 84,976.38

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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.