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Finding the Fourth Proportional to 285,316.44, 427,973.64 and 85,635.96

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Solution

The fourth proportional to 285,316.44, 427,973.64 and 85,635.96 is: 128,453.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,316.44 : 427,973.64 = 85,635.96 : x
  2. Step 2: Convert to fraction form
    285,316.44/427,973.64 = 85,635.96/x
  3. Step 3: Cross multiply
    285,316.44x = 427,973.64 × 85,635.96
  4. Step 4: Simplify right side
    285,316.44x = 36,649,933,516.09
  5. Step 5: Solve for x
    x = 36,649,933,516.09/285,316.44
  6. Step 6: Final answer
    x = 128,453.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.