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Finding the Fourth Proportional to 321,496.68, 443,649 and 178,255.32

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Solution

The fourth proportional to 321,496.68, 443,649 and 178,255.32 is: 245,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,496.68 : 443,649 = 178,255.32 : x
  2. Step 2: Convert to fraction form
    321,496.68/443,649 = 178,255.32/x
  3. Step 3: Cross multiply
    321,496.68x = 443,649 × 178,255.32
  4. Step 4: Simplify right side
    321,496.68x = 79,082,794,462.68
  5. Step 5: Solve for x
    x = 79,082,794,462.68/321,496.68
  6. Step 6: Final answer
    x = 245,983.24

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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.