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Finding the Fourth Proportional to 538,794.89, 743,717.12 and 321,071.87

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Solution

The fourth proportional to 538,794.89, 743,717.12 and 321,071.87 is: 443,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,794.89 : 743,717.12 = 321,071.87 : x
  2. Step 2: Convert to fraction form
    538,794.89/743,717.12 = 321,071.87/x
  3. Step 3: Cross multiply
    538,794.89x = 743,717.12 × 321,071.87
  4. Step 4: Simplify right side
    538,794.89x = 238,786,641,145.47
  5. Step 5: Solve for x
    x = 238,786,641,145.47/538,794.89
  6. Step 6: Final answer
    x = 443,186.54

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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.