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Finding the Fourth Proportional to 397,403.86, 548,406.57 and 225,353.38

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Solution

The fourth proportional to 397,403.86, 548,406.57 and 225,353.38 is: 310,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,403.86 : 548,406.57 = 225,353.38 : x
  2. Step 2: Convert to fraction form
    397,403.86/548,406.57 = 225,353.38/x
  3. Step 3: Cross multiply
    397,403.86x = 548,406.57 × 225,353.38
  4. Step 4: Simplify right side
    397,403.86x = 123,585,274,163.71
  5. Step 5: Solve for x
    x = 123,585,274,163.71/397,403.86
  6. Step 6: Final answer
    x = 310,981.56

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1.5x scale

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.