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Finding the Fourth Proportional to 376,155.24, 519,103.78 and 206,389.32

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Solution

The fourth proportional to 376,155.24, 519,103.78 and 206,389.32 is: 284,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,155.24 : 519,103.78 = 206,389.32 : x
  2. Step 2: Convert to fraction form
    376,155.24/519,103.78 = 206,389.32/x
  3. Step 3: Cross multiply
    376,155.24x = 519,103.78 × 206,389.32
  4. Step 4: Simplify right side
    376,155.24x = 107,137,476,163.63
  5. Step 5: Solve for x
    x = 107,137,476,163.63/376,155.24
  6. Step 6: Final answer
    x = 284,822.50

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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.