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Finding the Fourth Proportional to 321,600.96, 443,756.16 and 178,338.24

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Solution

The fourth proportional to 321,600.96, 443,756.16 and 178,338.24 is: 246,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,600.96 : 443,756.16 = 178,338.24 : x
  2. Step 2: Convert to fraction form
    321,600.96/443,756.16 = 178,338.24/x
  3. Step 3: Cross multiply
    321,600.96x = 443,756.16 × 178,338.24
  4. Step 4: Simplify right side
    321,600.96x = 79,138,692,563.56
  5. Step 5: Solve for x
    x = 79,138,692,563.56/321,600.96
  6. Step 6: Final answer
    x = 246,077.29

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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.