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Finding the Fourth Proportional to 321,284.68, 443,367.66 and 178,044.28

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Solution

The fourth proportional to 321,284.68, 443,367.66 and 178,044.28 is: 245,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,284.68 : 443,367.66 = 178,044.28 : x
  2. Step 2: Convert to fraction form
    321,284.68/443,367.66 = 178,044.28/x
  3. Step 3: Cross multiply
    321,284.68x = 443,367.66 × 178,044.28
  4. Step 4: Simplify right side
    321,284.68x = 78,939,075,799.98
  5. Step 5: Solve for x
    x = 78,939,075,799.98/321,284.68
  6. Step 6: Final answer
    x = 245,698.23

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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.