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Finding the Fourth Proportional to 213,998.63, 320,997.20 and 64,238.31

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Solution

The fourth proportional to 213,998.63, 320,997.20 and 64,238.31 is: 96,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,998.63 : 320,997.20 = 64,238.31 : x
  2. Step 2: Convert to fraction form
    213,998.63/320,997.20 = 64,238.31/x
  3. Step 3: Cross multiply
    213,998.63x = 320,997.20 × 64,238.31
  4. Step 4: Simplify right side
    213,998.63x = 20,620,317,321.54
  5. Step 5: Solve for x
    x = 20,620,317,321.54/213,998.63
  6. Step 6: Final answer
    x = 96,357.24

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1.5x scale

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.