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Finding the Fourth Proportional to 286,596.90, 394,820.16 and 200,394.59

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Solution

The fourth proportional to 286,596.90, 394,820.16 and 200,394.59 is: 276,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,596.90 : 394,820.16 = 200,394.59 : x
  2. Step 2: Convert to fraction form
    286,596.90/394,820.16 = 200,394.59/x
  3. Step 3: Cross multiply
    286,596.90x = 394,820.16 × 200,394.59
  4. Step 4: Simplify right side
    286,596.90x = 79,119,824,086.93
  5. Step 5: Solve for x
    x = 79,119,824,086.93/286,596.90
  6. Step 6: Final answer
    x = 276,066.57

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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.