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Finding the Fourth Proportional to 376,146.60, 519,078.24 and 206,380.68

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Solution

The fourth proportional to 376,146.60, 519,078.24 and 206,380.68 is: 284,803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,146.60 : 519,078.24 = 206,380.68 : x
  2. Step 2: Convert to fraction form
    376,146.60/519,078.24 = 206,380.68/x
  3. Step 3: Cross multiply
    376,146.60x = 519,078.24 × 206,380.68
  4. Step 4: Simplify right side
    376,146.60x = 107,127,720,144.40
  5. Step 5: Solve for x
    x = 107,127,720,144.40/376,146.60
  6. Step 6: Final answer
    x = 284,803.11

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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.