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Finding the Fourth Proportional to 384,255.78, 530,270.94 and 223,150.44

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Solution

The fourth proportional to 384,255.78, 530,270.94 and 223,150.44 is: 307,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,255.78 : 530,270.94 = 223,150.44 : x
  2. Step 2: Convert to fraction form
    384,255.78/530,270.94 = 223,150.44/x
  3. Step 3: Cross multiply
    384,255.78x = 530,270.94 × 223,150.44
  4. Step 4: Simplify right side
    384,255.78x = 118,330,193,580.21
  5. Step 5: Solve for x
    x = 118,330,193,580.21/384,255.78
  6. Step 6: Final answer
    x = 307,946.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.