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Finding the Fourth Proportional to 204,612.60, 306,918.90 and 64,414.20

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Solution

The fourth proportional to 204,612.60, 306,918.90 and 64,414.20 is: 96,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,612.60 : 306,918.90 = 64,414.20 : x
  2. Step 2: Convert to fraction form
    204,612.60/306,918.90 = 64,414.20/x
  3. Step 3: Cross multiply
    204,612.60x = 306,918.90 × 64,414.20
  4. Step 4: Simplify right side
    204,612.60x = 19,769,935,408.38
  5. Step 5: Solve for x
    x = 19,769,935,408.38/204,612.60
  6. Step 6: Final answer
    x = 96,621.30

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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.