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Finding the Fourth Proportional to 377,471.05, 520,906.07 and 214,157.77

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Solution

The fourth proportional to 377,471.05, 520,906.07 and 214,157.77 is: 295,535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,471.05 : 520,906.07 = 214,157.77 : x
  2. Step 2: Convert to fraction form
    377,471.05/520,906.07 = 214,157.77/x
  3. Step 3: Cross multiply
    377,471.05x = 520,906.07 × 214,157.77
  4. Step 4: Simplify right side
    377,471.05x = 111,556,081,563.79
  5. Step 5: Solve for x
    x = 111,556,081,563.79/377,471.05
  6. Step 6: Final answer
    x = 295,535.47

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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.