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Finding the Fourth Proportional to 378,401.60, 567,861.60 and 209,921.60

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Solution

The fourth proportional to 378,401.60, 567,861.60 and 209,921.60 is: 315,026.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,401.60 : 567,861.60 = 209,921.60 : x
  2. Step 2: Convert to fraction form
    378,401.60/567,861.60 = 209,921.60/x
  3. Step 3: Cross multiply
    378,401.60x = 567,861.60 × 209,921.60
  4. Step 4: Simplify right side
    378,401.60x = 119,206,415,650.56
  5. Step 5: Solve for x
    x = 119,206,415,650.56/378,401.60
  6. Step 6: Final answer
    x = 315,026.19

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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.