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Finding the Fourth Proportional to 305,229.69, 421,165.62 and 203,407.16

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Solution

The fourth proportional to 305,229.69, 421,165.62 and 203,407.16 is: 280,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,229.69 : 421,165.62 = 203,407.16 : x
  2. Step 2: Convert to fraction form
    305,229.69/421,165.62 = 203,407.16/x
  3. Step 3: Cross multiply
    305,229.69x = 421,165.62 × 203,407.16
  4. Step 4: Simplify right side
    305,229.69x = 85,668,100,548.01
  5. Step 5: Solve for x
    x = 85,668,100,548.01/305,229.69
  6. Step 6: Final answer
    x = 280,667.65

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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.