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Finding the Fourth Proportional to 203,915.20, 305,872.80 and 190,793.20

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Solution

The fourth proportional to 203,915.20, 305,872.80 and 190,793.20 is: 286,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,915.20 : 305,872.80 = 190,793.20 : x
  2. Step 2: Convert to fraction form
    203,915.20/305,872.80 = 190,793.20/x
  3. Step 3: Cross multiply
    203,915.20x = 305,872.80 × 190,793.20
  4. Step 4: Simplify right side
    203,915.20x = 58,358,450,304.96
  5. Step 5: Solve for x
    x = 58,358,450,304.96/203,915.20
  6. Step 6: Final answer
    x = 286,189.80

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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.