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Finding the Fourth Proportional to 285,999.98, 394,714.98 and 165,140.96

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Solution

The fourth proportional to 285,999.98, 394,714.98 and 165,140.96 is: 227,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,999.98 : 394,714.98 = 165,140.96 : x
  2. Step 2: Convert to fraction form
    285,999.98/394,714.98 = 165,140.96/x
  3. Step 3: Cross multiply
    285,999.98x = 394,714.98 × 165,140.96
  4. Step 4: Simplify right side
    285,999.98x = 65,183,608,750.01
  5. Step 5: Solve for x
    x = 65,183,608,750.01/285,999.98
  6. Step 6: Final answer
    x = 227,914.74

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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.