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Finding the Fourth Proportional to 512,759.46, 769,236.39 and 213,077.34

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Solution

The fourth proportional to 512,759.46, 769,236.39 and 213,077.34 is: 319,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,759.46 : 769,236.39 = 213,077.34 : x
  2. Step 2: Convert to fraction form
    512,759.46/769,236.39 = 213,077.34/x
  3. Step 3: Cross multiply
    512,759.46x = 769,236.39 × 213,077.34
  4. Step 4: Simplify right side
    512,759.46x = 163,906,843,812.40
  5. Step 5: Solve for x
    x = 163,906,843,812.40/512,759.46
  6. Step 6: Final answer
    x = 319,656.40

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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.