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Finding the Fourth Proportional to 321,266.16, 443,349.93 and 178,028.59

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Solution

The fourth proportional to 321,266.16, 443,349.93 and 178,028.59 is: 245,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,266.16 : 443,349.93 = 178,028.59 : x
  2. Step 2: Convert to fraction form
    321,266.16/443,349.93 = 178,028.59/x
  3. Step 3: Cross multiply
    321,266.16x = 443,349.93 × 178,028.59
  4. Step 4: Simplify right side
    321,266.16x = 78,928,962,914.50
  5. Step 5: Solve for x
    x = 78,928,962,914.50/321,266.16
  6. Step 6: Final answer
    x = 245,680.91

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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.