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Finding the Fourth Proportional to 311,362.20, 466,265.70 and 205,608.60

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Solution

The fourth proportional to 311,362.20, 466,265.70 and 205,608.60 is: 307,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,362.20 : 466,265.70 = 205,608.60 : x
  2. Step 2: Convert to fraction form
    311,362.20/466,265.70 = 205,608.60/x
  3. Step 3: Cross multiply
    311,362.20x = 466,265.70 × 205,608.60
  4. Step 4: Simplify right side
    311,362.20x = 95,868,237,805.02
  5. Step 5: Solve for x
    x = 95,868,237,805.02/311,362.20
  6. Step 6: Final answer
    x = 307,899.41

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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.