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Finding the Fourth Proportional to 228,830.20, 342,467.70 and 200,836.60

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Solution

The fourth proportional to 228,830.20, 342,467.70 and 200,836.60 is: 300,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,830.20 : 342,467.70 = 200,836.60 : x
  2. Step 2: Convert to fraction form
    228,830.20/342,467.70 = 200,836.60/x
  3. Step 3: Cross multiply
    228,830.20x = 342,467.70 × 200,836.60
  4. Step 4: Simplify right side
    228,830.20x = 68,780,048,477.82
  5. Step 5: Solve for x
    x = 68,780,048,477.82/228,830.20
  6. Step 6: Final answer
    x = 300,572.43

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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.