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Finding the Fourth Proportional to 542,777.30, 749,122.37 and 301,137.69

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Solution

The fourth proportional to 542,777.30, 749,122.37 and 301,137.69 is: 415,619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,777.30 : 749,122.37 = 301,137.69 : x
  2. Step 2: Convert to fraction form
    542,777.30/749,122.37 = 301,137.69/x
  3. Step 3: Cross multiply
    542,777.30x = 749,122.37 × 301,137.69
  4. Step 4: Simplify right side
    542,777.30x = 225,588,978,523.44
  5. Step 5: Solve for x
    x = 225,588,978,523.44/542,777.30
  6. Step 6: Final answer
    x = 415,619.78

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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.