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Finding the Fourth Proportional to 412,999.48, 618,614.70 and 202,198.60

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Solution

The fourth proportional to 412,999.48, 618,614.70 and 202,198.60 is: 302,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,999.48 : 618,614.70 = 202,198.60 : x
  2. Step 2: Convert to fraction form
    412,999.48/618,614.70 = 202,198.60/x
  3. Step 3: Cross multiply
    412,999.48x = 618,614.70 × 202,198.60
  4. Step 4: Simplify right side
    412,999.48x = 125,083,026,279.42
  5. Step 5: Solve for x
    x = 125,083,026,279.42/412,999.48
  6. Step 6: Final answer
    x = 302,864.85

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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.