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Finding the Fourth Proportional to 394,920.90, 592,017.92 and 214,743.10

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Solution

The fourth proportional to 394,920.90, 592,017.92 and 214,743.10 is: 321,917.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,920.90 : 592,017.92 = 214,743.10 : x
  2. Step 2: Convert to fraction form
    394,920.90/592,017.92 = 214,743.10/x
  3. Step 3: Cross multiply
    394,920.90x = 592,017.92 × 214,743.10
  4. Step 4: Simplify right side
    394,920.90x = 127,131,763,396.35
  5. Step 5: Solve for x
    x = 127,131,763,396.35/394,920.90
  6. Step 6: Final answer
    x = 321,917.03

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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.