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Finding the Fourth Proportional to 321,641.84, 443,892.96 and 178,448

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Solution

The fourth proportional to 321,641.84, 443,892.96 and 178,448 is: 246,273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,641.84 : 443,892.96 = 178,448 : x
  2. Step 2: Convert to fraction form
    321,641.84/443,892.96 = 178,448/x
  3. Step 3: Cross multiply
    321,641.84x = 443,892.96 × 178,448
  4. Step 4: Simplify right side
    321,641.84x = 79,211,810,926.08
  5. Step 5: Solve for x
    x = 79,211,810,926.08/321,641.84
  6. Step 6: Final answer
    x = 246,273.34

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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.