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Finding the Fourth Proportional to 369,198.75, 509,494.56 and 199,432.89

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Solution

The fourth proportional to 369,198.75, 509,494.56 and 199,432.89 is: 275,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,198.75 : 509,494.56 = 199,432.89 : x
  2. Step 2: Convert to fraction form
    369,198.75/509,494.56 = 199,432.89/x
  3. Step 3: Cross multiply
    369,198.75x = 509,494.56 × 199,432.89
  4. Step 4: Simplify right side
    369,198.75x = 101,609,972,540.08
  5. Step 5: Solve for x
    x = 101,609,972,540.08/369,198.75
  6. Step 6: Final answer
    x = 275,217.54

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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.