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Finding the Fourth Proportional to 200,789.46, 300,782.61 and 120,783.33

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Solution

The fourth proportional to 200,789.46, 300,782.61 and 120,783.33 is: 180,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,789.46 : 300,782.61 = 120,783.33 : x
  2. Step 2: Convert to fraction form
    200,789.46/300,782.61 = 120,783.33/x
  3. Step 3: Cross multiply
    200,789.46x = 300,782.61 × 120,783.33
  4. Step 4: Simplify right side
    200,789.46x = 36,329,525,241.89
  5. Step 5: Solve for x
    x = 36,329,525,241.89/200,789.46
  6. Step 6: Final answer
    x = 180,933.43

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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.