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Finding the Fourth Proportional to 275,905.70, 413,311.80 and 243,027.80

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Solution

The fourth proportional to 275,905.70, 413,311.80 and 243,027.80 is: 364,060.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,905.70 : 413,311.80 = 243,027.80 : x
  2. Step 2: Convert to fraction form
    275,905.70/413,311.80 = 243,027.80/x
  3. Step 3: Cross multiply
    275,905.70x = 413,311.80 × 243,027.80
  4. Step 4: Simplify right side
    275,905.70x = 100,446,257,468.04
  5. Step 5: Solve for x
    x = 100,446,257,468.04/275,905.70
  6. Step 6: Final answer
    x = 364,060.10

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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.