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Finding the Fourth Proportional to 321,411.75, 443,518.40 and 178,159.61

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Solution

The fourth proportional to 321,411.75, 443,518.40 and 178,159.61 is: 245,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,411.75 : 443,518.40 = 178,159.61 : x
  2. Step 2: Convert to fraction form
    321,411.75/443,518.40 = 178,159.61/x
  3. Step 3: Cross multiply
    321,411.75x = 443,518.40 × 178,159.61
  4. Step 4: Simplify right side
    321,411.75x = 79,017,062,063.43
  5. Step 5: Solve for x
    x = 79,017,062,063.43/321,411.75
  6. Step 6: Final answer
    x = 245,843.73

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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.