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Finding the Fourth Proportional to 428,461.46, 641,990.96 and 260,033.41

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Solution

The fourth proportional to 428,461.46, 641,990.96 and 260,033.41 is: 389,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,461.46 : 641,990.96 = 260,033.41 : x
  2. Step 2: Convert to fraction form
    428,461.46/641,990.96 = 260,033.41/x
  3. Step 3: Cross multiply
    428,461.46x = 641,990.96 × 260,033.41
  4. Step 4: Simplify right side
    428,461.46x = 166,939,098,517.97
  5. Step 5: Solve for x
    x = 166,939,098,517.97/428,461.46
  6. Step 6: Final answer
    x = 389,624.54

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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.