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Finding the Fourth Proportional to 361,698.80, 542,029.80 and 266,183.60

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Solution

The fourth proportional to 361,698.80, 542,029.80 and 266,183.60 is: 398,893.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,698.80 : 542,029.80 = 266,183.60 : x
  2. Step 2: Convert to fraction form
    361,698.80/542,029.80 = 266,183.60/x
  3. Step 3: Cross multiply
    361,698.80x = 542,029.80 × 266,183.60
  4. Step 4: Simplify right side
    361,698.80x = 144,279,443,471.28
  5. Step 5: Solve for x
    x = 144,279,443,471.28/361,698.80
  6. Step 6: Final answer
    x = 398,893.90

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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.