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Finding the Fourth Proportional to 222,370, 306,918.24 and 141,778.96

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Solution

The fourth proportional to 222,370, 306,918.24 and 141,778.96 is: 195,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,370 : 306,918.24 = 141,778.96 : x
  2. Step 2: Convert to fraction form
    222,370/306,918.24 = 141,778.96/x
  3. Step 3: Cross multiply
    222,370x = 306,918.24 × 141,778.96
  4. Step 4: Simplify right side
    222,370x = 43,514,548,872.23
  5. Step 5: Solve for x
    x = 43,514,548,872.23/222,370
  6. Step 6: Final answer
    x = 195,685.34

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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.