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Finding the Fourth Proportional to 321,518.64, 443,694.96 and 178,275

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Solution

The fourth proportional to 321,518.64, 443,694.96 and 178,275 is: 246,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,518.64 : 443,694.96 = 178,275 : x
  2. Step 2: Convert to fraction form
    321,518.64/443,694.96 = 178,275/x
  3. Step 3: Cross multiply
    321,518.64x = 443,694.96 × 178,275
  4. Step 4: Simplify right side
    321,518.64x = 79,099,718,994
  5. Step 5: Solve for x
    x = 79,099,718,994/321,518.64
  6. Step 6: Final answer
    x = 246,019.08

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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.