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Finding the Fourth Proportional to 369,086.85, 509,339.79 and 199,321.02

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Solution

The fourth proportional to 369,086.85, 509,339.79 and 199,321.02 is: 275,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,086.85 : 509,339.79 = 199,321.02 : x
  2. Step 2: Convert to fraction form
    369,086.85/509,339.79 = 199,321.02/x
  3. Step 3: Cross multiply
    369,086.85x = 509,339.79 × 199,321.02
  4. Step 4: Simplify right side
    369,086.85x = 101,522,126,469.39
  5. Step 5: Solve for x
    x = 101,522,126,469.39/369,086.85
  6. Step 6: Final answer
    x = 275,062.97

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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.