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Finding the Fourth Proportional to 311,046.82, 429,109.41 and 190,193.14

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Solution

The fourth proportional to 311,046.82, 429,109.41 and 190,193.14 is: 262,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,046.82 : 429,109.41 = 190,193.14 : x
  2. Step 2: Convert to fraction form
    311,046.82/429,109.41 = 190,193.14/x
  3. Step 3: Cross multiply
    311,046.82x = 429,109.41 × 190,193.14
  4. Step 4: Simplify right side
    311,046.82x = 81,613,666,091.45
  5. Step 5: Solve for x
    x = 81,613,666,091.45/311,046.82
  6. Step 6: Final answer
    x = 262,383.86

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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.