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Finding the Fourth Proportional to 380,793.60, 570,801.60 and 222,940.80

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Solution

The fourth proportional to 380,793.60, 570,801.60 and 222,940.80 is: 334,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,793.60 : 570,801.60 = 222,940.80 : x
  2. Step 2: Convert to fraction form
    380,793.60/570,801.60 = 222,940.80/x
  3. Step 3: Cross multiply
    380,793.60x = 570,801.60 × 222,940.80
  4. Step 4: Simplify right side
    380,793.60x = 127,254,965,345.28
  5. Step 5: Solve for x
    x = 127,254,965,345.28/380,793.60
  6. Step 6: Final answer
    x = 334,183.57

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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.