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Finding the Fourth Proportional to 512,012.14, 767,765.48 and 156,940.54

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Solution

The fourth proportional to 512,012.14, 767,765.48 and 156,940.54 is: 235,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,012.14 : 767,765.48 = 156,940.54 : x
  2. Step 2: Convert to fraction form
    512,012.14/767,765.48 = 156,940.54/x
  3. Step 3: Cross multiply
    512,012.14x = 767,765.48 × 156,940.54
  4. Step 4: Simplify right side
    512,012.14x = 120,493,529,024.56
  5. Step 5: Solve for x
    x = 120,493,529,024.56/512,012.14
  6. Step 6: Final answer
    x = 235,333.34

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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.