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Finding the Fourth Proportional to 321,359.36, 443,474.76 and 178,118

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Solution

The fourth proportional to 321,359.36, 443,474.76 and 178,118 is: 245,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,359.36 : 443,474.76 = 178,118 : x
  2. Step 2: Convert to fraction form
    321,359.36/443,474.76 = 178,118/x
  3. Step 3: Cross multiply
    321,359.36x = 443,474.76 × 178,118
  4. Step 4: Simplify right side
    321,359.36x = 78,990,837,301.68
  5. Step 5: Solve for x
    x = 78,990,837,301.68/321,359.36
  6. Step 6: Final answer
    x = 245,802.20

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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.