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Finding the Fourth Proportional to 321,390.30, 443,550.42 and 178,178.04

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Solution

The fourth proportional to 321,390.30, 443,550.42 and 178,178.04 is: 245,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,390.30 : 443,550.42 = 178,178.04 : x
  2. Step 2: Convert to fraction form
    321,390.30/443,550.42 = 178,178.04/x
  3. Step 3: Cross multiply
    321,390.30x = 443,550.42 × 178,178.04
  4. Step 4: Simplify right side
    321,390.30x = 79,030,944,476.78
  5. Step 5: Solve for x
    x = 79,030,944,476.78/321,390.30
  6. Step 6: Final answer
    x = 245,903.33

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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.