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Finding the Fourth Proportional to 311,878.46, 467,430.10 and 143,219.86

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Solution

The fourth proportional to 311,878.46, 467,430.10 and 143,219.86 is: 214,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,878.46 : 467,430.10 = 143,219.86 : x
  2. Step 2: Convert to fraction form
    311,878.46/467,430.10 = 143,219.86/x
  3. Step 3: Cross multiply
    311,878.46x = 467,430.10 × 143,219.86
  4. Step 4: Simplify right side
    311,878.46x = 66,945,273,481.79
  5. Step 5: Solve for x
    x = 66,945,273,481.79/311,878.46
  6. Step 6: Final answer
    x = 214,651.80

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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.