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Finding the Fourth Proportional to 376,147.20, 519,083.76 and 206,382.54

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Solution

The fourth proportional to 376,147.20, 519,083.76 and 206,382.54 is: 284,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,147.20 : 519,083.76 = 206,382.54 : x
  2. Step 2: Convert to fraction form
    376,147.20/519,083.76 = 206,382.54/x
  3. Step 3: Cross multiply
    376,147.20x = 519,083.76 × 206,382.54
  4. Step 4: Simplify right side
    376,147.20x = 107,129,824,861.55
  5. Step 5: Solve for x
    x = 107,129,824,861.55/376,147.20
  6. Step 6: Final answer
    x = 284,808.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.