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Finding the Fourth Proportional to 206,353.79, 309,374.69 and 135,294.30

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Solution

The fourth proportional to 206,353.79, 309,374.69 and 135,294.30 is: 202,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,353.79 : 309,374.69 = 135,294.30 : x
  2. Step 2: Convert to fraction form
    206,353.79/309,374.69 = 135,294.30/x
  3. Step 3: Cross multiply
    206,353.79x = 309,374.69 × 135,294.30
  4. Step 4: Simplify right side
    206,353.79x = 41,856,632,205.83
  5. Step 5: Solve for x
    x = 41,856,632,205.83/206,353.79
  6. Step 6: Final answer
    x = 202,839.17

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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.