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Finding the Fourth Proportional to 361,255.10, 542,401.05 and 203,791.10

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Solution

The fourth proportional to 361,255.10, 542,401.05 and 203,791.10 is: 305,979.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,255.10 : 542,401.05 = 203,791.10 : x
  2. Step 2: Convert to fraction form
    361,255.10/542,401.05 = 203,791.10/x
  3. Step 3: Cross multiply
    361,255.10x = 542,401.05 × 203,791.10
  4. Step 4: Simplify right side
    361,255.10x = 110,536,506,620.66
  5. Step 5: Solve for x
    x = 110,536,506,620.66/361,255.10
  6. Step 6: Final answer
    x = 305,979.09

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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.