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Finding the Fourth Proportional to 321,549.09, 443,764.35 and 178,355.40

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Solution

The fourth proportional to 321,549.09, 443,764.35 and 178,355.40 is: 246,145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,549.09 : 443,764.35 = 178,355.40 : x
  2. Step 2: Convert to fraction form
    321,549.09/443,764.35 = 178,355.40/x
  3. Step 3: Cross multiply
    321,549.09x = 443,764.35 × 178,355.40
  4. Step 4: Simplify right side
    321,549.09x = 79,147,768,149.99
  5. Step 5: Solve for x
    x = 79,147,768,149.99/321,549.09
  6. Step 6: Final answer
    x = 246,145.21

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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.