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Finding the Fourth Proportional to 321,648.14, 443,871.51 and 178,408.46

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Solution

The fourth proportional to 321,648.14, 443,871.51 and 178,408.46 is: 246,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,648.14 : 443,871.51 = 178,408.46 : x
  2. Step 2: Convert to fraction form
    321,648.14/443,871.51 = 178,408.46/x
  3. Step 3: Cross multiply
    321,648.14x = 443,871.51 × 178,408.46
  4. Step 4: Simplify right side
    321,648.14x = 79,190,432,536.97
  5. Step 5: Solve for x
    x = 79,190,432,536.97/321,648.14
  6. Step 6: Final answer
    x = 246,202.05

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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.