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Finding the Fourth Proportional to 523,747.41, 722,751.07 and 320,139.24

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Solution

The fourth proportional to 523,747.41, 722,751.07 and 320,139.24 is: 441,779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,747.41 : 722,751.07 = 320,139.24 : x
  2. Step 2: Convert to fraction form
    523,747.41/722,751.07 = 320,139.24/x
  3. Step 3: Cross multiply
    523,747.41x = 722,751.07 × 320,139.24
  4. Step 4: Simplify right side
    523,747.41x = 231,380,978,258.99
  5. Step 5: Solve for x
    x = 231,380,978,258.99/523,747.41
  6. Step 6: Final answer
    x = 441,779.71

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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.