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Finding the Fourth Proportional to 309,486.42, 427,093.56 and 201,992.94

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Solution

The fourth proportional to 309,486.42, 427,093.56 and 201,992.94 is: 278,751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,486.42 : 427,093.56 = 201,992.94 : x
  2. Step 2: Convert to fraction form
    309,486.42/427,093.56 = 201,992.94/x
  3. Step 3: Cross multiply
    309,486.42x = 427,093.56 × 201,992.94
  4. Step 4: Simplify right side
    309,486.42x = 86,269,883,839.47
  5. Step 5: Solve for x
    x = 86,269,883,839.47/309,486.42
  6. Step 6: Final answer
    x = 278,751.76

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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.