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Finding the Fourth Proportional to 321,401.04, 443,486.82 and 178,161

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Solution

The fourth proportional to 321,401.04, 443,486.82 and 178,161 is: 245,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,401.04 : 443,486.82 = 178,161 : x
  2. Step 2: Convert to fraction form
    321,401.04/443,486.82 = 178,161/x
  3. Step 3: Cross multiply
    321,401.04x = 443,486.82 × 178,161
  4. Step 4: Simplify right side
    321,401.04x = 79,012,055,338.02
  5. Step 5: Solve for x
    x = 79,012,055,338.02/321,401.04
  6. Step 6: Final answer
    x = 245,836.34

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1.5x scale

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.