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Finding the Fourth Proportional to 209,642.46, 289,486.44 and 202,863.84

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Solution

The fourth proportional to 209,642.46, 289,486.44 and 202,863.84 is: 280,126.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,642.46 : 289,486.44 = 202,863.84 : x
  2. Step 2: Convert to fraction form
    209,642.46/289,486.44 = 202,863.84/x
  3. Step 3: Cross multiply
    209,642.46x = 289,486.44 × 202,863.84
  4. Step 4: Simplify right side
    209,642.46x = 58,726,330,846.33
  5. Step 5: Solve for x
    x = 58,726,330,846.33/209,642.46
  6. Step 6: Final answer
    x = 280,126.13

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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.