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Finding the Fourth Proportional to 455,321.30, 682,407.68 and 230,738.26

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Solution

The fourth proportional to 455,321.30, 682,407.68 and 230,738.26 is: 345,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,321.30 : 682,407.68 = 230,738.26 : x
  2. Step 2: Convert to fraction form
    455,321.30/682,407.68 = 230,738.26/x
  3. Step 3: Cross multiply
    455,321.30x = 682,407.68 × 230,738.26
  4. Step 4: Simplify right side
    455,321.30x = 157,457,560,693.84
  5. Step 5: Solve for x
    x = 157,457,560,693.84/455,321.30
  6. Step 6: Final answer
    x = 345,816.37

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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.