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Finding the Fourth Proportional to 512,130.60, 768,538.73 and 212,611.43

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Solution

The fourth proportional to 512,130.60, 768,538.73 and 212,611.43 is: 319,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,130.60 : 768,538.73 = 212,611.43 : x
  2. Step 2: Convert to fraction form
    512,130.60/768,538.73 = 212,611.43/x
  3. Step 3: Cross multiply
    512,130.60x = 768,538.73 × 212,611.43
  4. Step 4: Simplify right side
    512,130.60x = 163,400,120,848.56
  5. Step 5: Solve for x
    x = 163,400,120,848.56/512,130.60
  6. Step 6: Final answer
    x = 319,059.48

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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.