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Finding the Fourth Proportional to 345,895.85, 477,315.71 and 200,690.39

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Solution

The fourth proportional to 345,895.85, 477,315.71 and 200,690.39 is: 276,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,895.85 : 477,315.71 = 200,690.39 : x
  2. Step 2: Convert to fraction form
    345,895.85/477,315.71 = 200,690.39/x
  3. Step 3: Cross multiply
    345,895.85x = 477,315.71 × 200,690.39
  4. Step 4: Simplify right side
    345,895.85x = 95,792,673,606.45
  5. Step 5: Solve for x
    x = 95,792,673,606.45/345,895.85
  6. Step 6: Final answer
    x = 276,940.80

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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.