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Finding the Fourth Proportional to 394,211.40, 591,462.90 and 127,980.60

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Solution

The fourth proportional to 394,211.40, 591,462.90 and 127,980.60 is: 192,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,211.40 : 591,462.90 = 127,980.60 : x
  2. Step 2: Convert to fraction form
    394,211.40/591,462.90 = 127,980.60/x
  3. Step 3: Cross multiply
    394,211.40x = 591,462.90 × 127,980.60
  4. Step 4: Simplify right side
    394,211.40x = 75,695,776,819.74
  5. Step 5: Solve for x
    x = 75,695,776,819.74/394,211.40
  6. Step 6: Final answer
    x = 192,018.23

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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.