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Finding the Fourth Proportional to 598,500, 825,930 and 330,228

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Solution

The fourth proportional to 598,500, 825,930 and 330,228 is: 455,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,500 : 825,930 = 330,228 : x
  2. Step 2: Convert to fraction form
    598,500/825,930 = 330,228/x
  3. Step 3: Cross multiply
    598,500x = 825,930 × 330,228
  4. Step 4: Simplify right side
    598,500x = 272,745,212,040
  5. Step 5: Solve for x
    x = 272,745,212,040/598,500
  6. Step 6: Final answer
    x = 455,714.64

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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.