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Finding the Fourth Proportional to 428,659.22, 591,429.96 and 337,732.94

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Solution

The fourth proportional to 428,659.22, 591,429.96 and 337,732.94 is: 465,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,659.22 : 591,429.96 = 337,732.94 : x
  2. Step 2: Convert to fraction form
    428,659.22/591,429.96 = 337,732.94/x
  3. Step 3: Cross multiply
    428,659.22x = 591,429.96 × 337,732.94
  4. Step 4: Simplify right side
    428,659.22x = 199,745,379,194.88
  5. Step 5: Solve for x
    x = 199,745,379,194.88/428,659.22
  6. Step 6: Final answer
    x = 465,977.10

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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.