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Finding the Fourth Proportional to 512,999.60, 769,499.40 and 139,022.60

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Solution

The fourth proportional to 512,999.60, 769,499.40 and 139,022.60 is: 208,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,999.60 : 769,499.40 = 139,022.60 : x
  2. Step 2: Convert to fraction form
    512,999.60/769,499.40 = 139,022.60/x
  3. Step 3: Cross multiply
    512,999.60x = 769,499.40 × 139,022.60
  4. Step 4: Simplify right side
    512,999.60x = 106,977,807,286.44
  5. Step 5: Solve for x
    x = 106,977,807,286.44/512,999.60
  6. Step 6: Final answer
    x = 208,533.90

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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.