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Finding the Fourth Proportional to 289,802, 399,790.68 and 204,965.84

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Solution

The fourth proportional to 289,802, 399,790.68 and 204,965.84 is: 282,756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,802 : 399,790.68 = 204,965.84 : x
  2. Step 2: Convert to fraction form
    289,802/399,790.68 = 204,965.84/x
  3. Step 3: Cross multiply
    289,802x = 399,790.68 × 204,965.84
  4. Step 4: Simplify right side
    289,802x = 81,943,432,550.37
  5. Step 5: Solve for x
    x = 81,943,432,550.37/289,802
  6. Step 6: Final answer
    x = 282,756.62

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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.