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Finding the Fourth Proportional to 536,071.68, 739,728 and 321,171.84

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Solution

The fourth proportional to 536,071.68, 739,728 and 321,171.84 is: 443,186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,071.68 : 739,728 = 321,171.84 : x
  2. Step 2: Convert to fraction form
    536,071.68/739,728 = 321,171.84/x
  3. Step 3: Cross multiply
    536,071.68x = 739,728 × 321,171.84
  4. Step 4: Simplify right side
    536,071.68x = 237,579,802,859.52
  5. Step 5: Solve for x
    x = 237,579,802,859.52/536,071.68
  6. Step 6: Final answer
    x = 443,186.63

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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.