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Finding the Fourth Proportional to 221,674.88, 332,616 and 128,259.20

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Solution

The fourth proportional to 221,674.88, 332,616 and 128,259.20 is: 192,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,674.88 : 332,616 = 128,259.20 : x
  2. Step 2: Convert to fraction form
    221,674.88/332,616 = 128,259.20/x
  3. Step 3: Cross multiply
    221,674.88x = 332,616 × 128,259.20
  4. Step 4: Simplify right side
    221,674.88x = 42,661,062,067.20
  5. Step 5: Solve for x
    x = 42,661,062,067.20/221,674.88
  6. Step 6: Final answer
    x = 192,448.79

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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.