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Finding the Fourth Proportional to 206,401.05, 289,158.30 and 206,401.05

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Solution

The fourth proportional to 206,401.05, 289,158.30 and 206,401.05 is: 289,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,401.05 : 289,158.30 = 206,401.05 : x
  2. Step 2: Convert to fraction form
    206,401.05/289,158.30 = 206,401.05/x
  3. Step 3: Cross multiply
    206,401.05x = 289,158.30 × 206,401.05
  4. Step 4: Simplify right side
    206,401.05x = 59,682,576,736.22
  5. Step 5: Solve for x
    x = 59,682,576,736.22/206,401.05
  6. Step 6: Final answer
    x = 289,158.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.