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Finding the Fourth Proportional to 207,190, 311,200.50 and 200,381.08

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Solution

The fourth proportional to 207,190, 311,200.50 and 200,381.08 is: 300,973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,190 : 311,200.50 = 200,381.08 : x
  2. Step 2: Convert to fraction form
    207,190/311,200.50 = 200,381.08/x
  3. Step 3: Cross multiply
    207,190x = 311,200.50 × 200,381.08
  4. Step 4: Simplify right side
    207,190x = 62,358,692,286.54
  5. Step 5: Solve for x
    x = 62,358,692,286.54/207,190
  6. Step 6: Final answer
    x = 300,973.47

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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.