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Finding the Fourth Proportional to 200,323.80, 300,352.32 and 120,181.32

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Solution

The fourth proportional to 200,323.80, 300,352.32 and 120,181.32 is: 180,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,323.80 : 300,352.32 = 120,181.32 : x
  2. Step 2: Convert to fraction form
    200,323.80/300,352.32 = 120,181.32/x
  3. Step 3: Cross multiply
    200,323.80x = 300,352.32 × 120,181.32
  4. Step 4: Simplify right side
    200,323.80x = 36,096,738,282.66
  5. Step 5: Solve for x
    x = 36,096,738,282.66/200,323.80
  6. Step 6: Final answer
    x = 180,191.96

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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.