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Finding the Fourth Proportional to 321,529.90, 443,689.63 and 178,284.64

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Solution

The fourth proportional to 321,529.90, 443,689.63 and 178,284.64 is: 246,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,529.90 : 443,689.63 = 178,284.64 : x
  2. Step 2: Convert to fraction form
    321,529.90/443,689.63 = 178,284.64/x
  3. Step 3: Cross multiply
    321,529.90x = 443,689.63 × 178,284.64
  4. Step 4: Simplify right side
    321,529.90x = 79,103,045,956.28
  5. Step 5: Solve for x
    x = 79,103,045,956.28/321,529.90
  6. Step 6: Final answer
    x = 246,020.81

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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.