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Finding the Fourth Proportional to 664,768.80, 996,505.20 and 380,167.20

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Solution

The fourth proportional to 664,768.80, 996,505.20 and 380,167.20 is: 569,880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,768.80 : 996,505.20 = 380,167.20 : x
  2. Step 2: Convert to fraction form
    664,768.80/996,505.20 = 380,167.20/x
  3. Step 3: Cross multiply
    664,768.80x = 996,505.20 × 380,167.20
  4. Step 4: Simplify right side
    664,768.80x = 378,838,591,669.44
  5. Step 5: Solve for x
    x = 378,838,591,669.44/664,768.80
  6. Step 6: Final answer
    x = 569,880.22

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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.