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Finding the Fourth Proportional to 311,790.60, 467,255.52 and 142,890.84

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Solution

The fourth proportional to 311,790.60, 467,255.52 and 142,890.84 is: 214,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,790.60 : 467,255.52 = 142,890.84 : x
  2. Step 2: Convert to fraction form
    311,790.60/467,255.52 = 142,890.84/x
  3. Step 3: Cross multiply
    311,790.60x = 467,255.52 × 142,890.84
  4. Step 4: Simplify right side
    311,790.60x = 66,766,533,747.44
  5. Step 5: Solve for x
    x = 66,766,533,747.44/311,790.60
  6. Step 6: Final answer
    x = 214,139.02

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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.