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Finding the Fourth Proportional to 279,198.42, 385,318.80 and 164,478.12

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Solution

The fourth proportional to 279,198.42, 385,318.80 and 164,478.12 is: 226,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,198.42 : 385,318.80 = 164,478.12 : x
  2. Step 2: Convert to fraction form
    279,198.42/385,318.80 = 164,478.12/x
  3. Step 3: Cross multiply
    279,198.42x = 385,318.80 × 164,478.12
  4. Step 4: Simplify right side
    279,198.42x = 63,376,511,824.66
  5. Step 5: Solve for x
    x = 63,376,511,824.66/279,198.42
  6. Step 6: Final answer
    x = 226,994.52

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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.