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Finding the Fourth Proportional to 200,540.12, 300,810.85 and 50,780.32

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Solution

The fourth proportional to 200,540.12, 300,810.85 and 50,780.32 is: 76,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,540.12 : 300,810.85 = 50,780.32 : x
  2. Step 2: Convert to fraction form
    200,540.12/300,810.85 = 50,780.32/x
  3. Step 3: Cross multiply
    200,540.12x = 300,810.85 × 50,780.32
  4. Step 4: Simplify right side
    200,540.12x = 15,275,270,343.49
  5. Step 5: Solve for x
    x = 15,275,270,343.49/200,540.12
  6. Step 6: Final answer
    x = 76,170.65

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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.