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Finding the Fourth Proportional to 321,409.94, 443,515.91 and 178,157.79

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Solution

The fourth proportional to 321,409.94, 443,515.91 and 178,157.79 is: 245,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,409.94 : 443,515.91 = 178,157.79 : x
  2. Step 2: Convert to fraction form
    321,409.94/443,515.91 = 178,157.79/x
  3. Step 3: Cross multiply
    321,409.94x = 443,515.91 × 178,157.79
  4. Step 4: Simplify right side
    321,409.94x = 79,015,813,464.65
  5. Step 5: Solve for x
    x = 79,015,813,464.65/321,409.94
  6. Step 6: Final answer
    x = 245,841.23

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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.