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Finding the Fourth Proportional to 285,057.02, 427,517.46 and 85,323.80

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Solution

The fourth proportional to 285,057.02, 427,517.46 and 85,323.80 is: 127,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,057.02 : 427,517.46 = 85,323.80 : x
  2. Step 2: Convert to fraction form
    285,057.02/427,517.46 = 85,323.80/x
  3. Step 3: Cross multiply
    285,057.02x = 427,517.46 × 85,323.80
  4. Step 4: Simplify right side
    285,057.02x = 36,477,412,115.96
  5. Step 5: Solve for x
    x = 36,477,412,115.96/285,057.02
  6. Step 6: Final answer
    x = 127,965.32

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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.