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Finding the Fourth Proportional to 206,580.70, 309,871.05 and 204,612.40

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Solution

The fourth proportional to 206,580.70, 309,871.05 and 204,612.40 is: 306,918.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,580.70 : 309,871.05 = 204,612.40 : x
  2. Step 2: Convert to fraction form
    206,580.70/309,871.05 = 204,612.40/x
  3. Step 3: Cross multiply
    206,580.70x = 309,871.05 × 204,612.40
  4. Step 4: Simplify right side
    206,580.70x = 63,403,459,231.02
  5. Step 5: Solve for x
    x = 63,403,459,231.02/206,580.70
  6. Step 6: Final answer
    x = 306,918.60

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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.