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Finding the Fourth Proportional to 395,223.86, 545,409.25 and 213,935.23

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Solution

The fourth proportional to 395,223.86, 545,409.25 and 213,935.23 is: 295,230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,223.86 : 545,409.25 = 213,935.23 : x
  2. Step 2: Convert to fraction form
    395,223.86/545,409.25 = 213,935.23/x
  3. Step 3: Cross multiply
    395,223.86x = 545,409.25 × 213,935.23
  4. Step 4: Simplify right side
    395,223.86x = 116,682,250,421.87
  5. Step 5: Solve for x
    x = 116,682,250,421.87/395,223.86
  6. Step 6: Final answer
    x = 295,230.79

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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.