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Finding the Fourth Proportional to 321,399.04, 443,484.06 and 178,159

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Solution

The fourth proportional to 321,399.04, 443,484.06 and 178,159 is: 245,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,399.04 : 443,484.06 = 178,159 : x
  2. Step 2: Convert to fraction form
    321,399.04/443,484.06 = 178,159/x
  3. Step 3: Cross multiply
    321,399.04x = 443,484.06 × 178,159
  4. Step 4: Simplify right side
    321,399.04x = 79,010,676,645.54
  5. Step 5: Solve for x
    x = 79,010,676,645.54/321,399.04
  6. Step 6: Final answer
    x = 245,833.58

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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.