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Finding the Fourth Proportional to 228,474.24, 343,103.40 and 140,245.80

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Solution

The fourth proportional to 228,474.24, 343,103.40 and 140,245.80 is: 210,609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,474.24 : 343,103.40 = 140,245.80 : x
  2. Step 2: Convert to fraction form
    228,474.24/343,103.40 = 140,245.80/x
  3. Step 3: Cross multiply
    228,474.24x = 343,103.40 × 140,245.80
  4. Step 4: Simplify right side
    228,474.24x = 48,118,810,815.72
  5. Step 5: Solve for x
    x = 48,118,810,815.72/228,474.24
  6. Step 6: Final answer
    x = 210,609.35

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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.