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Finding the Fourth Proportional to 309,486.12, 427,166.82 and 188,694

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Solution

The fourth proportional to 309,486.12, 427,166.82 and 188,694 is: 260,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,486.12 : 427,166.82 = 188,694 : x
  2. Step 2: Convert to fraction form
    309,486.12/427,166.82 = 188,694/x
  3. Step 3: Cross multiply
    309,486.12x = 427,166.82 × 188,694
  4. Step 4: Simplify right side
    309,486.12x = 80,603,815,933.08
  5. Step 5: Solve for x
    x = 80,603,815,933.08/309,486.12
  6. Step 6: Final answer
    x = 260,444.04

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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.