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Finding the Fourth Proportional to 307,530.80, 461,296.20 and 279,974.60

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Solution

The fourth proportional to 307,530.80, 461,296.20 and 279,974.60 is: 419,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,530.80 : 461,296.20 = 279,974.60 : x
  2. Step 2: Convert to fraction form
    307,530.80/461,296.20 = 279,974.60/x
  3. Step 3: Cross multiply
    307,530.80x = 461,296.20 × 279,974.60
  4. Step 4: Simplify right side
    307,530.80x = 129,151,219,076.52
  5. Step 5: Solve for x
    x = 129,151,219,076.52/307,530.80
  6. Step 6: Final answer
    x = 419,961.90

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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.