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Finding the Fourth Proportional to 321,405.48, 443,532.48 and 178,164.28

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Solution

The fourth proportional to 321,405.48, 443,532.48 and 178,164.28 is: 245,862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,405.48 : 443,532.48 = 178,164.28 : x
  2. Step 2: Convert to fraction form
    321,405.48/443,532.48 = 178,164.28/x
  3. Step 3: Cross multiply
    321,405.48x = 443,532.48 × 178,164.28
  4. Step 4: Simplify right side
    321,405.48x = 79,021,644,955.81
  5. Step 5: Solve for x
    x = 79,021,644,955.81/321,405.48
  6. Step 6: Final answer
    x = 245,862.78

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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.