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Finding the Fourth Proportional to 285,427.86, 427,939.12 and 143,170.80

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Solution

The fourth proportional to 285,427.86, 427,939.12 and 143,170.80 is: 214,654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,427.86 : 427,939.12 = 143,170.80 : x
  2. Step 2: Convert to fraction form
    285,427.86/427,939.12 = 143,170.80/x
  3. Step 3: Cross multiply
    285,427.86x = 427,939.12 × 143,170.80
  4. Step 4: Simplify right side
    285,427.86x = 61,268,386,161.70
  5. Step 5: Solve for x
    x = 61,268,386,161.70/285,427.86
  6. Step 6: Final answer
    x = 214,654.54

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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.