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Finding the Fourth Proportional to 213,211.80, 319,816.62 and 200,220.12

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Solution

The fourth proportional to 213,211.80, 319,816.62 and 200,220.12 is: 300,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,211.80 : 319,816.62 = 200,220.12 : x
  2. Step 2: Convert to fraction form
    213,211.80/319,816.62 = 200,220.12/x
  3. Step 3: Cross multiply
    213,211.80x = 319,816.62 × 200,220.12
  4. Step 4: Simplify right side
    213,211.80x = 64,033,722,034.39
  5. Step 5: Solve for x
    x = 64,033,722,034.39/213,211.80
  6. Step 6: Final answer
    x = 300,329.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.