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Finding the Fourth Proportional to 311,580.58, 467,183.90 and 142,889.60

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Solution

The fourth proportional to 311,580.58, 467,183.90 and 142,889.60 is: 214,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,580.58 : 467,183.90 = 142,889.60 : x
  2. Step 2: Convert to fraction form
    311,580.58/467,183.90 = 142,889.60/x
  3. Step 3: Cross multiply
    311,580.58x = 467,183.90 × 142,889.60
  4. Step 4: Simplify right side
    311,580.58x = 66,755,720,597.44
  5. Step 5: Solve for x
    x = 66,755,720,597.44/311,580.58
  6. Step 6: Final answer
    x = 214,248.66

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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.