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Finding the Fourth Proportional to 321,492.48, 443,571.36 and 192,378.48

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Solution

The fourth proportional to 321,492.48, 443,571.36 and 192,378.48 is: 265,429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,492.48 : 443,571.36 = 192,378.48 : x
  2. Step 2: Convert to fraction form
    321,492.48/443,571.36 = 192,378.48/x
  3. Step 3: Cross multiply
    321,492.48x = 443,571.36 × 192,378.48
  4. Step 4: Simplify right side
    321,492.48x = 85,333,584,008.33
  5. Step 5: Solve for x
    x = 85,333,584,008.33/321,492.48
  6. Step 6: Final answer
    x = 265,429.49

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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.