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Finding the Fourth Proportional to 523,745.91, 722,749.01 and 320,137.74

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Solution

The fourth proportional to 523,745.91, 722,749.01 and 320,137.74 is: 441,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,745.91 : 722,749.01 = 320,137.74 : x
  2. Step 2: Convert to fraction form
    523,745.91/722,749.01 = 320,137.74/x
  3. Step 3: Cross multiply
    523,745.91x = 722,749.01 × 320,137.74
  4. Step 4: Simplify right side
    523,745.91x = 231,379,231,034.89
  5. Step 5: Solve for x
    x = 231,379,231,034.89/523,745.91
  6. Step 6: Final answer
    x = 441,777.64

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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.