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Finding the Fourth Proportional to 222,393.90, 306,778.24 and 140,696.80

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Solution

The fourth proportional to 222,393.90, 306,778.24 and 140,696.80 is: 194,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,393.90 : 306,778.24 = 140,696.80 : x
  2. Step 2: Convert to fraction form
    222,393.90/306,778.24 = 140,696.80/x
  3. Step 3: Cross multiply
    222,393.90x = 306,778.24 × 140,696.80
  4. Step 4: Simplify right side
    222,393.90x = 43,162,715,295.14
  5. Step 5: Solve for x
    x = 43,162,715,295.14/222,393.90
  6. Step 6: Final answer
    x = 194,082.28

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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.