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Finding the Fourth Proportional to 206,452, 309,730 and 58,708

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Solution

The fourth proportional to 206,452, 309,730 and 58,708 is: 88,076.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,452 : 309,730 = 58,708 : x
  2. Step 2: Convert to fraction form
    206,452/309,730 = 58,708/x
  3. Step 3: Cross multiply
    206,452x = 309,730 × 58,708
  4. Step 4: Simplify right side
    206,452x = 18,183,628,840
  5. Step 5: Solve for x
    x = 18,183,628,840/206,452
  6. Step 6: Final answer
    x = 88,076.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.