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Finding the Fourth Proportional to 522,176.40, 782,227.80 and 311,187.60

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Solution

The fourth proportional to 522,176.40, 782,227.80 and 311,187.60 is: 466,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,176.40 : 782,227.80 = 311,187.60 : x
  2. Step 2: Convert to fraction form
    522,176.40/782,227.80 = 311,187.60/x
  3. Step 3: Cross multiply
    522,176.40x = 782,227.80 × 311,187.60
  4. Step 4: Simplify right side
    522,176.40x = 243,419,591,735.28
  5. Step 5: Solve for x
    x = 243,419,591,735.28/522,176.40
  6. Step 6: Final answer
    x = 466,163.53

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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.