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Finding the Fourth Proportional to 360,961.76, 498,121.20 and 199,813.40

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Solution

The fourth proportional to 360,961.76, 498,121.20 and 199,813.40 is: 275,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,961.76 : 498,121.20 = 199,813.40 : x
  2. Step 2: Convert to fraction form
    360,961.76/498,121.20 = 199,813.40/x
  3. Step 3: Cross multiply
    360,961.76x = 498,121.20 × 199,813.40
  4. Step 4: Simplify right side
    360,961.76x = 99,531,290,584.08
  5. Step 5: Solve for x
    x = 99,531,290,584.08/360,961.76
  6. Step 6: Final answer
    x = 275,739.15

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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.