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Finding the Fourth Proportional to 522,761.40, 783,105.30 and 311,772.60

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Solution

The fourth proportional to 522,761.40, 783,105.30 and 311,772.60 is: 467,040.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,761.40 : 783,105.30 = 311,772.60 : x
  2. Step 2: Convert to fraction form
    522,761.40/783,105.30 = 311,772.60/x
  3. Step 3: Cross multiply
    522,761.40x = 783,105.30 × 311,772.60
  4. Step 4: Simplify right side
    522,761.40x = 244,150,775,454.78
  5. Step 5: Solve for x
    x = 244,150,775,454.78/522,761.40
  6. Step 6: Final answer
    x = 467,040.56

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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.