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Finding the Fourth Proportional to 286,099.83, 394,889.45 and 165,311.28

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Solution

The fourth proportional to 286,099.83, 394,889.45 and 165,311.28 is: 228,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,099.83 : 394,889.45 = 165,311.28 : x
  2. Step 2: Convert to fraction form
    286,099.83/394,889.45 = 165,311.28/x
  3. Step 3: Cross multiply
    286,099.83x = 394,889.45 × 165,311.28
  4. Step 4: Simplify right side
    286,099.83x = 65,279,679,611.44
  5. Step 5: Solve for x
    x = 65,279,679,611.44/286,099.83
  6. Step 6: Final answer
    x = 228,170.98

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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.