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Finding the Fourth Proportional to 200,433.36, 300,231.72 and 120,216.94

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Solution

The fourth proportional to 200,433.36, 300,231.72 and 120,216.94 is: 180,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,433.36 : 300,231.72 = 120,216.94 : x
  2. Step 2: Convert to fraction form
    200,433.36/300,231.72 = 120,216.94/x
  3. Step 3: Cross multiply
    200,433.36x = 300,231.72 × 120,216.94
  4. Step 4: Simplify right side
    200,433.36x = 36,092,938,669.34
  5. Step 5: Solve for x
    x = 36,092,938,669.34/200,433.36
  6. Step 6: Final answer
    x = 180,074.51

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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.