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Finding the Fourth Proportional to 321,698.89, 443,940.35 and 174,521.59

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Solution

The fourth proportional to 321,698.89, 443,940.35 and 174,521.59 is: 240,837.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,698.89 : 443,940.35 = 174,521.59 : x
  2. Step 2: Convert to fraction form
    321,698.89/443,940.35 = 174,521.59/x
  3. Step 3: Cross multiply
    321,698.89x = 443,940.35 × 174,521.59
  4. Step 4: Simplify right side
    321,698.89x = 77,477,173,764.70
  5. Step 5: Solve for x
    x = 77,477,173,764.70/321,698.89
  6. Step 6: Final answer
    x = 240,837.55

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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.