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Finding the Fourth Proportional to 426,906.74, 640,793.41 and 213,827.33

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Solution

The fourth proportional to 426,906.74, 640,793.41 and 213,827.33 is: 320,958.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,906.74 : 640,793.41 = 213,827.33 : x
  2. Step 2: Convert to fraction form
    426,906.74/640,793.41 = 213,827.33/x
  3. Step 3: Cross multiply
    426,906.74x = 640,793.41 × 213,827.33
  4. Step 4: Simplify right side
    426,906.74x = 137,019,139,668.79
  5. Step 5: Solve for x
    x = 137,019,139,668.79/426,906.74
  6. Step 6: Final answer
    x = 320,958.02

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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.