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Finding the Fourth Proportional to 455,847.30, 682,786.80 and 377,115.30

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Solution

The fourth proportional to 455,847.30, 682,786.80 and 377,115.30 is: 564,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,847.30 : 682,786.80 = 377,115.30 : x
  2. Step 2: Convert to fraction form
    455,847.30/682,786.80 = 377,115.30/x
  3. Step 3: Cross multiply
    455,847.30x = 682,786.80 × 377,115.30
  4. Step 4: Simplify right side
    455,847.30x = 257,489,348,918.04
  5. Step 5: Solve for x
    x = 257,489,348,918.04/455,847.30
  6. Step 6: Final answer
    x = 564,858.78

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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.