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Finding the Fourth Proportional to 319,504, 440,915.52 and 178,192

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Solution

The fourth proportional to 319,504, 440,915.52 and 178,192 is: 245,904.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,504 : 440,915.52 = 178,192 : x
  2. Step 2: Convert to fraction form
    319,504/440,915.52 = 178,192/x
  3. Step 3: Cross multiply
    319,504x = 440,915.52 × 178,192
  4. Step 4: Simplify right side
    319,504x = 78,567,618,339.84
  5. Step 5: Solve for x
    x = 78,567,618,339.84/319,504
  6. Step 6: Final answer
    x = 245,904.96

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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.