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Finding the Fourth Proportional to 379,105.60, 569,272.80 and 274,657.60

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Solution

The fourth proportional to 379,105.60, 569,272.80 and 274,657.60 is: 412,431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,105.60 : 569,272.80 = 274,657.60 : x
  2. Step 2: Convert to fraction form
    379,105.60/569,272.80 = 274,657.60/x
  3. Step 3: Cross multiply
    379,105.60x = 569,272.80 × 274,657.60
  4. Step 4: Simplify right side
    379,105.60x = 156,355,100,993.28
  5. Step 5: Solve for x
    x = 156,355,100,993.28/379,105.60
  6. Step 6: Final answer
    x = 412,431.53

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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.