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Finding the Fourth Proportional to 351,868.70, 485,643.81 and 200,965.70

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Solution

The fourth proportional to 351,868.70, 485,643.81 and 200,965.70 is: 277,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,868.70 : 485,643.81 = 200,965.70 : x
  2. Step 2: Convert to fraction form
    351,868.70/485,643.81 = 200,965.70/x
  3. Step 3: Cross multiply
    351,868.70x = 485,643.81 × 200,965.70
  4. Step 4: Simplify right side
    351,868.70x = 97,597,748,227.32
  5. Step 5: Solve for x
    x = 97,597,748,227.32/351,868.70
  6. Step 6: Final answer
    x = 277,369.79

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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.