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Finding the Fourth Proportional to 321,162.36, 443,203.74 and 177,931.32

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Solution

The fourth proportional to 321,162.36, 443,203.74 and 177,931.32 is: 245,545.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,162.36 : 443,203.74 = 177,931.32 : x
  2. Step 2: Convert to fraction form
    321,162.36/443,203.74 = 177,931.32/x
  3. Step 3: Cross multiply
    321,162.36x = 443,203.74 × 177,931.32
  4. Step 4: Simplify right side
    321,162.36x = 78,859,826,487.14
  5. Step 5: Solve for x
    x = 78,859,826,487.14/321,162.36
  6. Step 6: Final answer
    x = 245,545.05

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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.