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Finding the Fourth Proportional to 321,593.10, 443,825.08 and 178,399.40

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Solution

The fourth proportional to 321,593.10, 443,825.08 and 178,399.40 is: 246,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,593.10 : 443,825.08 = 178,399.40 : x
  2. Step 2: Convert to fraction form
    321,593.10/443,825.08 = 178,399.40/x
  3. Step 3: Cross multiply
    321,593.10x = 443,825.08 × 178,399.40
  4. Step 4: Simplify right side
    321,593.10x = 79,178,127,976.95
  5. Step 5: Solve for x
    x = 79,178,127,976.95/321,593.10
  6. Step 6: Final answer
    x = 246,205.93

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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.