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Finding the Fourth Proportional to 383,260.56, 574,847.10 and 102,756

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Solution

The fourth proportional to 383,260.56, 574,847.10 and 102,756 is: 154,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,260.56 : 574,847.10 = 102,756 : x
  2. Step 2: Convert to fraction form
    383,260.56/574,847.10 = 102,756/x
  3. Step 3: Cross multiply
    383,260.56x = 574,847.10 × 102,756
  4. Step 4: Simplify right side
    383,260.56x = 59,068,988,607.60
  5. Step 5: Solve for x
    x = 59,068,988,607.60/383,260.56
  6. Step 6: Final answer
    x = 154,122.27

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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.