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Finding the Fourth Proportional to 395,223.99, 545,409.23 and 213,935.33

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Solution

The fourth proportional to 395,223.99, 545,409.23 and 213,935.33 is: 295,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,223.99 : 545,409.23 = 213,935.33 : x
  2. Step 2: Convert to fraction form
    395,223.99/545,409.23 = 213,935.33/x
  3. Step 3: Cross multiply
    395,223.99x = 545,409.23 × 213,935.33
  4. Step 4: Simplify right side
    395,223.99x = 116,682,299,808.37
  5. Step 5: Solve for x
    x = 116,682,299,808.37/395,223.99
  6. Step 6: Final answer
    x = 295,230.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.