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Finding the Fourth Proportional to 428,786.60, 591,761.86 and 237,861.50

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Solution

The fourth proportional to 428,786.60, 591,761.86 and 237,861.50 is: 328,269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,786.60 : 591,761.86 = 237,861.50 : x
  2. Step 2: Convert to fraction form
    428,786.60/591,761.86 = 237,861.50/x
  3. Step 3: Cross multiply
    428,786.60x = 591,761.86 × 237,861.50
  4. Step 4: Simplify right side
    428,786.60x = 140,757,363,662.39
  5. Step 5: Solve for x
    x = 140,757,363,662.39/428,786.60
  6. Step 6: Final answer
    x = 328,269.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.