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Finding the Fourth Proportional to 286,181.76, 394,950.72 and 165,363.84

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Solution

The fourth proportional to 286,181.76, 394,950.72 and 165,363.84 is: 228,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,181.76 : 394,950.72 = 165,363.84 : x
  2. Step 2: Convert to fraction form
    286,181.76/394,950.72 = 165,363.84/x
  3. Step 3: Cross multiply
    286,181.76x = 394,950.72 × 165,363.84
  4. Step 4: Simplify right side
    286,181.76x = 65,310,567,669.96
  5. Step 5: Solve for x
    x = 65,310,567,669.96/286,181.76
  6. Step 6: Final answer
    x = 228,213.59

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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.