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Finding the Fourth Proportional to 200,298.40, 300,438.48 and 67,168.42

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Solution

The fourth proportional to 200,298.40, 300,438.48 and 67,168.42 is: 100,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,298.40 : 300,438.48 = 67,168.42 : x
  2. Step 2: Convert to fraction form
    200,298.40/300,438.48 = 67,168.42/x
  3. Step 3: Cross multiply
    200,298.40x = 300,438.48 × 67,168.42
  4. Step 4: Simplify right side
    200,298.40x = 20,179,978,008.80
  5. Step 5: Solve for x
    x = 20,179,978,008.80/200,298.40
  6. Step 6: Final answer
    x = 100,749.57

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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.