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Finding the Fourth Proportional to 397,258.77, 548,205.68 and 225,192.64

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Solution

The fourth proportional to 397,258.77, 548,205.68 and 225,192.64 is: 310,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,258.77 : 548,205.68 = 225,192.64 : x
  2. Step 2: Convert to fraction form
    397,258.77/548,205.68 = 225,192.64/x
  3. Step 3: Cross multiply
    397,258.77x = 548,205.68 × 225,192.64
  4. Step 4: Simplify right side
    397,258.77x = 123,451,884,342.20
  5. Step 5: Solve for x
    x = 123,451,884,342.20/397,258.77
  6. Step 6: Final answer
    x = 310,759.37

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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.