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Finding the Fourth Proportional to 395,205.54, 545,385.00 and 213,917.42

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Solution

The fourth proportional to 395,205.54, 545,385.00 and 213,917.42 is: 295,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,205.54 : 545,385.00 = 213,917.42 : x
  2. Step 2: Convert to fraction form
    395,205.54/545,385.00 = 213,917.42/x
  3. Step 3: Cross multiply
    395,205.54x = 545,385.00 × 213,917.42
  4. Step 4: Simplify right side
    395,205.54x = 116,667,352,121.92
  5. Step 5: Solve for x
    x = 116,667,352,121.92/395,205.54
  6. Step 6: Final answer
    x = 295,206.78

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1.5x scale

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.