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Finding the Fourth Proportional to 381,669, 572,503.74 and 119,013

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Solution

The fourth proportional to 381,669, 572,503.74 and 119,013 is: 178,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,669 : 572,503.74 = 119,013 : x
  2. Step 2: Convert to fraction form
    381,669/572,503.74 = 119,013/x
  3. Step 3: Cross multiply
    381,669x = 572,503.74 × 119,013
  4. Step 4: Simplify right side
    381,669x = 68,135,387,608.62
  5. Step 5: Solve for x
    x = 68,135,387,608.62/381,669
  6. Step 6: Final answer
    x = 178,519.57

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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.