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Finding the Fourth Proportional to 397,396.86, 548,396.91 and 225,346.38

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Solution

The fourth proportional to 397,396.86, 548,396.91 and 225,346.38 is: 310,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,396.86 : 548,396.91 = 225,346.38 : x
  2. Step 2: Convert to fraction form
    397,396.86/548,396.91 = 225,346.38/x
  3. Step 3: Cross multiply
    397,396.86x = 548,396.91 × 225,346.38
  4. Step 4: Simplify right side
    397,396.86x = 123,579,258,471.69
  5. Step 5: Solve for x
    x = 123,579,258,471.69/397,396.86
  6. Step 6: Final answer
    x = 310,971.90

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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.