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Finding the Fourth Proportional to 321,282.65, 443,372.63 and 178,045.07

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Solution

The fourth proportional to 321,282.65, 443,372.63 and 178,045.07 is: 245,703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,282.65 : 443,372.63 = 178,045.07 : x
  2. Step 2: Convert to fraction form
    321,282.65/443,372.63 = 178,045.07/x
  3. Step 3: Cross multiply
    321,282.65x = 443,372.63 × 178,045.07
  4. Step 4: Simplify right side
    321,282.65x = 78,940,310,944.43
  5. Step 5: Solve for x
    x = 78,940,310,944.43/321,282.65
  6. Step 6: Final answer
    x = 245,703.62

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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.