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Finding the Fourth Proportional to 213,433.56, 320,315.58 and 80,434.80

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Solution

The fourth proportional to 213,433.56, 320,315.58 and 80,434.80 is: 120,714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,433.56 : 320,315.58 = 80,434.80 : x
  2. Step 2: Convert to fraction form
    213,433.56/320,315.58 = 80,434.80/x
  3. Step 3: Cross multiply
    213,433.56x = 320,315.58 × 80,434.80
  4. Step 4: Simplify right side
    213,433.56x = 25,764,519,614.18
  5. Step 5: Solve for x
    x = 25,764,519,614.18/213,433.56
  6. Step 6: Final answer
    x = 120,714.47

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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.