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Finding the Fourth Proportional to 394,952.09, 592,668.71 and 142,211.44

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Solution

The fourth proportional to 394,952.09, 592,668.71 and 142,211.44 is: 213,403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,952.09 : 592,668.71 = 142,211.44 : x
  2. Step 2: Convert to fraction form
    394,952.09/592,668.71 = 142,211.44/x
  3. Step 3: Cross multiply
    394,952.09x = 592,668.71 × 142,211.44
  4. Step 4: Simplify right side
    394,952.09x = 84,284,267,017.64
  5. Step 5: Solve for x
    x = 84,284,267,017.64/394,952.09
  6. Step 6: Final answer
    x = 213,403.78

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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.