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Finding the Fourth Proportional to 321,396.84, 443,531.34 and 178,159.32

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Solution

The fourth proportional to 321,396.84, 443,531.34 and 178,159.32 is: 245,861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,396.84 : 443,531.34 = 178,159.32 : x
  2. Step 2: Convert to fraction form
    321,396.84/443,531.34 = 178,159.32/x
  3. Step 3: Cross multiply
    321,396.84x = 443,531.34 × 178,159.32
  4. Step 4: Simplify right side
    321,396.84x = 79,019,241,933.09
  5. Step 5: Solve for x
    x = 79,019,241,933.09/321,396.84
  6. Step 6: Final answer
    x = 245,861.91

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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.