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Finding the Fourth Proportional to 321,583.28, 443,763.29 and 178,338.02

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Solution

The fourth proportional to 321,583.28, 443,763.29 and 178,338.02 is: 246,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,583.28 : 443,763.29 = 178,338.02 : x
  2. Step 2: Convert to fraction form
    321,583.28/443,763.29 = 178,338.02/x
  3. Step 3: Cross multiply
    321,583.28x = 443,763.29 × 178,338.02
  4. Step 4: Simplify right side
    321,583.28x = 79,139,864,714.31
  5. Step 5: Solve for x
    x = 79,139,864,714.31/321,583.28
  6. Step 6: Final answer
    x = 246,094.47

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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.