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Finding the Fourth Proportional to 264,620, 365,175.60 and 145,388

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Solution

The fourth proportional to 264,620, 365,175.60 and 145,388 is: 200,635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,620 : 365,175.60 = 145,388 : x
  2. Step 2: Convert to fraction form
    264,620/365,175.60 = 145,388/x
  3. Step 3: Cross multiply
    264,620x = 365,175.60 × 145,388
  4. Step 4: Simplify right side
    264,620x = 53,092,150,132.80
  5. Step 5: Solve for x
    x = 53,092,150,132.80/264,620
  6. Step 6: Final answer
    x = 200,635.44

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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.