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Finding the Fourth Proportional to 285,021.44, 427,475.54 and 82,641.32

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Solution

The fourth proportional to 285,021.44, 427,475.54 and 82,641.32 is: 123,945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,021.44 : 427,475.54 = 82,641.32 : x
  2. Step 2: Convert to fraction form
    285,021.44/427,475.54 = 82,641.32/x
  3. Step 3: Cross multiply
    285,021.44x = 427,475.54 × 82,641.32
  4. Step 4: Simplify right side
    285,021.44x = 35,327,142,893.31
  5. Step 5: Solve for x
    x = 35,327,142,893.31/285,021.44
  6. Step 6: Final answer
    x = 123,945.56

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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.