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Finding the Fourth Proportional to 379,091.70, 522,720.03 and 309,965.49

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Solution

The fourth proportional to 379,091.70, 522,720.03 and 309,965.49 is: 427,403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,091.70 : 522,720.03 = 309,965.49 : x
  2. Step 2: Convert to fraction form
    379,091.70/522,720.03 = 309,965.49/x
  3. Step 3: Cross multiply
    379,091.70x = 522,720.03 × 309,965.49
  4. Step 4: Simplify right side
    379,091.70x = 162,025,170,231.77
  5. Step 5: Solve for x
    x = 162,025,170,231.77/379,091.70
  6. Step 6: Final answer
    x = 427,403.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.