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Finding the Fourth Proportional to 376,365, 519,389.79 and 204,286.38

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Solution

The fourth proportional to 376,365, 519,389.79 and 204,286.38 is: 281,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,365 : 519,389.79 = 204,286.38 : x
  2. Step 2: Convert to fraction form
    376,365/519,389.79 = 204,286.38/x
  3. Step 3: Cross multiply
    376,365x = 519,389.79 × 204,286.38
  4. Step 4: Simplify right side
    376,365x = 106,104,260,008.06
  5. Step 5: Solve for x
    x = 106,104,260,008.06/376,365
  6. Step 6: Final answer
    x = 281,918.51

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1.5x scale

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.