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Finding the Fourth Proportional to 285,311.80, 427,773.30 and 135,623.80

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Solution

The fourth proportional to 285,311.80, 427,773.30 and 135,623.80 is: 203,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,311.80 : 427,773.30 = 135,623.80 : x
  2. Step 2: Convert to fraction form
    285,311.80/427,773.30 = 135,623.80/x
  3. Step 3: Cross multiply
    285,311.80x = 427,773.30 × 135,623.80
  4. Step 4: Simplify right side
    285,311.80x = 58,016,240,484.54
  5. Step 5: Solve for x
    x = 58,016,240,484.54/285,311.80
  6. Step 6: Final answer
    x = 203,343.29

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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.