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Finding the Fourth Proportional to 378,601, 567,735.18 and 141,777.60

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Solution

The fourth proportional to 378,601, 567,735.18 and 141,777.60 is: 212,604.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,601 : 567,735.18 = 141,777.60 : x
  2. Step 2: Convert to fraction form
    378,601/567,735.18 = 141,777.60/x
  3. Step 3: Cross multiply
    378,601x = 567,735.18 × 141,777.60
  4. Step 4: Simplify right side
    378,601x = 80,492,131,255.97
  5. Step 5: Solve for x
    x = 80,492,131,255.97/378,601
  6. Step 6: Final answer
    x = 212,604.12

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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.