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Finding the Fourth Proportional to 394,509.75, 592,183.12 and 320,523.20

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Solution

The fourth proportional to 394,509.75, 592,183.12 and 320,523.20 is: 481,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,509.75 : 592,183.12 = 320,523.20 : x
  2. Step 2: Convert to fraction form
    394,509.75/592,183.12 = 320,523.20/x
  3. Step 3: Cross multiply
    394,509.75x = 592,183.12 × 320,523.20
  4. Step 4: Simplify right side
    394,509.75x = 189,808,428,608.38
  5. Step 5: Solve for x
    x = 189,808,428,608.38/394,509.75
  6. Step 6: Final answer
    x = 481,124.81

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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.