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Finding the Fourth Proportional to 321,730.49, 443,999.94 and 194,381.48

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Solution

The fourth proportional to 321,730.49, 443,999.94 and 194,381.48 is: 268,253.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,730.49 : 443,999.94 = 194,381.48 : x
  2. Step 2: Convert to fraction form
    321,730.49/443,999.94 = 194,381.48/x
  3. Step 3: Cross multiply
    321,730.49x = 443,999.94 × 194,381.48
  4. Step 4: Simplify right side
    321,730.49x = 86,305,365,457.11
  5. Step 5: Solve for x
    x = 86,305,365,457.11/321,730.49
  6. Step 6: Final answer
    x = 268,253.61

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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.