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Finding the Fourth Proportional to 376,255.76, 519,245.48 and 206,499.12

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Solution

The fourth proportional to 376,255.76, 519,245.48 and 206,499.12 is: 284,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,255.76 : 519,245.48 = 206,499.12 : x
  2. Step 2: Convert to fraction form
    376,255.76/519,245.48 = 206,499.12/x
  3. Step 3: Cross multiply
    376,255.76x = 519,245.48 × 206,499.12
  4. Step 4: Simplify right side
    376,255.76x = 107,223,734,683.98
  5. Step 5: Solve for x
    x = 107,223,734,683.98/376,255.76
  6. Step 6: Final answer
    x = 284,975.66

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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.