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Finding the Fourth Proportional to 264,678, 365,255.64 and 145,446

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Solution

The fourth proportional to 264,678, 365,255.64 and 145,446 is: 200,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,678 : 365,255.64 = 145,446 : x
  2. Step 2: Convert to fraction form
    264,678/365,255.64 = 145,446/x
  3. Step 3: Cross multiply
    264,678x = 365,255.64 × 145,446
  4. Step 4: Simplify right side
    264,678x = 53,124,971,815.44
  5. Step 5: Solve for x
    x = 53,124,971,815.44/264,678
  6. Step 6: Final answer
    x = 200,715.48

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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.