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Finding the Fourth Proportional to 321,387.51, 443,468.19 and 178,147.53

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Solution

The fourth proportional to 321,387.51, 443,468.19 and 178,147.53 is: 245,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,387.51 : 443,468.19 = 178,147.53 : x
  2. Step 2: Convert to fraction form
    321,387.51/443,468.19 = 178,147.53/x
  3. Step 3: Cross multiply
    321,387.51x = 443,468.19 × 178,147.53
  4. Step 4: Simplify right side
    321,387.51x = 79,002,762,682.07
  5. Step 5: Solve for x
    x = 79,002,762,682.07/321,387.51
  6. Step 6: Final answer
    x = 245,817.78

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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.