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Finding the Fourth Proportional to 321,347.44, 443,443.44 and 178,106.20

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Solution

The fourth proportional to 321,347.44, 443,443.44 and 178,106.20 is: 245,777.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,347.44 : 443,443.44 = 178,106.20 : x
  2. Step 2: Convert to fraction form
    321,347.44/443,443.44 = 178,106.20/x
  3. Step 3: Cross multiply
    321,347.44x = 443,443.44 × 178,106.20
  4. Step 4: Simplify right side
    321,347.44x = 78,980,026,013.33
  5. Step 5: Solve for x
    x = 78,980,026,013.33/321,347.44
  6. Step 6: Final answer
    x = 245,777.67

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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.