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Finding the Fourth Proportional to 206,404.10, 309,606.15 and 206,404.10

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Solution

The fourth proportional to 206,404.10, 309,606.15 and 206,404.10 is: 309,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,404.10 : 309,606.15 = 206,404.10 : x
  2. Step 2: Convert to fraction form
    206,404.10/309,606.15 = 206,404.10/x
  3. Step 3: Cross multiply
    206,404.10x = 309,606.15 × 206,404.10
  4. Step 4: Simplify right side
    206,404.10x = 63,903,978,745.22
  5. Step 5: Solve for x
    x = 63,903,978,745.22/206,404.10
  6. Step 6: Final answer
    x = 309,606.15

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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.