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Finding the Fourth Proportional to 321,497.73, 443,691.95 and 178,285.68

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Solution

The fourth proportional to 321,497.73, 443,691.95 and 178,285.68 is: 246,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,497.73 : 443,691.95 = 178,285.68 : x
  2. Step 2: Convert to fraction form
    321,497.73/443,691.95 = 178,285.68/x
  3. Step 3: Cross multiply
    321,497.73x = 443,691.95 × 178,285.68
  4. Step 4: Simplify right side
    321,497.73x = 79,103,920,124.85
  5. Step 5: Solve for x
    x = 79,103,920,124.85/321,497.73
  6. Step 6: Final answer
    x = 246,048.15

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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.