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Finding the Fourth Proportional to 376,339.40, 519,354.26 and 206,589

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Solution

The fourth proportional to 376,339.40, 519,354.26 and 206,589 is: 285,096.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,339.40 : 519,354.26 = 206,589 : x
  2. Step 2: Convert to fraction form
    376,339.40/519,354.26 = 206,589/x
  3. Step 3: Cross multiply
    376,339.40x = 519,354.26 × 206,589
  4. Step 4: Simplify right side
    376,339.40x = 107,292,877,219.14
  5. Step 5: Solve for x
    x = 107,292,877,219.14/376,339.40
  6. Step 6: Final answer
    x = 285,096.05

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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.