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Finding the Fourth Proportional to 538,610.36, 743,238.60 and 312,270.44

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Solution

The fourth proportional to 538,610.36, 743,238.60 and 312,270.44 is: 430,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,610.36 : 743,238.60 = 312,270.44 : x
  2. Step 2: Convert to fraction form
    538,610.36/743,238.60 = 312,270.44/x
  3. Step 3: Cross multiply
    538,610.36x = 743,238.60 × 312,270.44
  4. Step 4: Simplify right side
    538,610.36x = 232,091,444,646.98
  5. Step 5: Solve for x
    x = 232,091,444,646.98/538,610.36
  6. Step 6: Final answer
    x = 430,907.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.