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Finding the Fourth Proportional to 376,441.29, 519,489.86 and 206,686.35

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Solution

The fourth proportional to 376,441.29, 519,489.86 and 206,686.35 is: 285,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,441.29 : 519,489.86 = 206,686.35 : x
  2. Step 2: Convert to fraction form
    376,441.29/519,489.86 = 206,686.35/x
  3. Step 3: Cross multiply
    376,441.29x = 519,489.86 × 206,686.35
  4. Step 4: Simplify right side
    376,441.29x = 107,371,461,991.98
  5. Step 5: Solve for x
    x = 107,371,461,991.98/376,441.29
  6. Step 6: Final answer
    x = 285,227.64

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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.