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Finding the Fourth Proportional to 646,872.20, 970,178.70 and 309,912.20

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Solution

The fourth proportional to 646,872.20, 970,178.70 and 309,912.20 is: 464,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,872.20 : 970,178.70 = 309,912.20 : x
  2. Step 2: Convert to fraction form
    646,872.20/970,178.70 = 309,912.20/x
  3. Step 3: Cross multiply
    646,872.20x = 970,178.70 × 309,912.20
  4. Step 4: Simplify right side
    646,872.20x = 300,670,215,310.14
  5. Step 5: Solve for x
    x = 300,670,215,310.14/646,872.20
  6. Step 6: Final answer
    x = 464,806.21

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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.