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Finding the Fourth Proportional to 203,460.30, 305,190.45 and 194,821.65

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Solution

The fourth proportional to 203,460.30, 305,190.45 and 194,821.65 is: 292,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,460.30 : 305,190.45 = 194,821.65 : x
  2. Step 2: Convert to fraction form
    203,460.30/305,190.45 = 194,821.65/x
  3. Step 3: Cross multiply
    203,460.30x = 305,190.45 × 194,821.65
  4. Step 4: Simplify right side
    203,460.30x = 59,457,707,033.24
  5. Step 5: Solve for x
    x = 59,457,707,033.24/203,460.30
  6. Step 6: Final answer
    x = 292,232.48

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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.