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Finding the Fourth Proportional to 206,408.81, 309,314.38 and 142,301.15

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Solution

The fourth proportional to 206,408.81, 309,314.38 and 142,301.15 is: 213,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,408.81 : 309,314.38 = 142,301.15 : x
  2. Step 2: Convert to fraction form
    206,408.81/309,314.38 = 142,301.15/x
  3. Step 3: Cross multiply
    206,408.81x = 309,314.38 × 142,301.15
  4. Step 4: Simplify right side
    206,408.81x = 44,015,791,985.54
  5. Step 5: Solve for x
    x = 44,015,791,985.54/206,408.81
  6. Step 6: Final answer
    x = 213,245.70

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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.