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Finding the Fourth Proportional to 376,431.15, 519,468.51 and 206,664.06

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Solution

The fourth proportional to 376,431.15, 519,468.51 and 206,664.06 is: 285,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,431.15 : 519,468.51 = 206,664.06 : x
  2. Step 2: Convert to fraction form
    376,431.15/519,468.51 = 206,664.06/x
  3. Step 3: Cross multiply
    376,431.15x = 519,468.51 × 206,664.06
  4. Step 4: Simplify right side
    376,431.15x = 107,355,471,318.75
  5. Step 5: Solve for x
    x = 107,355,471,318.75/376,431.15
  6. Step 6: Final answer
    x = 285,192.85

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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.