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Finding the Fourth Proportional to 321,268, 443,352.47 and 178,030.43

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Solution

The fourth proportional to 321,268, 443,352.47 and 178,030.43 is: 245,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,268 : 443,352.47 = 178,030.43 : x
  2. Step 2: Convert to fraction form
    321,268/443,352.47 = 178,030.43/x
  3. Step 3: Cross multiply
    321,268x = 443,352.47 × 178,030.43
  4. Step 4: Simplify right side
    321,268x = 78,930,230,875.66
  5. Step 5: Solve for x
    x = 78,930,230,875.66/321,268
  6. Step 6: Final answer
    x = 245,683.45

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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.