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Finding the Fourth Proportional to 289,672.80, 434,120.40 and 206,469.60

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Solution

The fourth proportional to 289,672.80, 434,120.40 and 206,469.60 is: 309,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,672.80 : 434,120.40 = 206,469.60 : x
  2. Step 2: Convert to fraction form
    289,672.80/434,120.40 = 206,469.60/x
  3. Step 3: Cross multiply
    289,672.80x = 434,120.40 × 206,469.60
  4. Step 4: Simplify right side
    289,672.80x = 89,632,665,339.84
  5. Step 5: Solve for x
    x = 89,632,665,339.84/289,672.80
  6. Step 6: Final answer
    x = 309,427.28

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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.