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Finding the Fourth Proportional to 313,670,219.70, 470,505,329.55 and 299,561,445.30

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Solution

The fourth proportional to 313,670,219.70, 470,505,329.55 and 299,561,445.30 is: 449,342,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,670,219.70 : 470,505,329.55 = 299,561,445.30 : x
  2. Step 2: Convert to fraction form
    313,670,219.70/470,505,329.55 = 299,561,445.30/x
  3. Step 3: Cross multiply
    313,670,219.70x = 470,505,329.55 × 299,561,445.30
  4. Step 4: Simplify right side
    313,670,219.70x = 140,945,256,541,350,800
  5. Step 5: Solve for x
    x = 140,945,256,541,350,800/313,670,219.70
  6. Step 6: Final answer
    x = 449,342,167.95

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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.