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Finding the Fourth Proportional to 512,741.12, 769,238.56 and 213,131.84

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Solution

The fourth proportional to 512,741.12, 769,238.56 and 213,131.84 is: 319,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,741.12 : 769,238.56 = 213,131.84 : x
  2. Step 2: Convert to fraction form
    512,741.12/769,238.56 = 213,131.84/x
  3. Step 3: Cross multiply
    512,741.12x = 769,238.56 × 213,131.84
  4. Step 4: Simplify right side
    512,741.12x = 163,949,229,691.75
  5. Step 5: Solve for x
    x = 163,949,229,691.75/512,741.12
  6. Step 6: Final answer
    x = 319,750.50

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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.