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Finding the Fourth Proportional to 204,414, 306,621 and 56,670

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Solution

The fourth proportional to 204,414, 306,621 and 56,670 is: 85,005

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,414 : 306,621 = 56,670 : x
  2. Step 2: Convert to fraction form
    204,414/306,621 = 56,670/x
  3. Step 3: Cross multiply
    204,414x = 306,621 × 56,670
  4. Step 4: Simplify right side
    204,414x = 17,376,212,070
  5. Step 5: Solve for x
    x = 17,376,212,070/204,414
  6. Step 6: Final answer
    x = 85,005

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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.