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Finding the Fourth Proportional to 489,091.92, 674,698.44 and 319,425.36

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Solution

The fourth proportional to 489,091.92, 674,698.44 and 319,425.36 is: 440,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,091.92 : 674,698.44 = 319,425.36 : x
  2. Step 2: Convert to fraction form
    489,091.92/674,698.44 = 319,425.36/x
  3. Step 3: Cross multiply
    489,091.92x = 674,698.44 × 319,425.36
  4. Step 4: Simplify right side
    489,091.92x = 215,515,792,088.44
  5. Step 5: Solve for x
    x = 215,515,792,088.44/489,091.92
  6. Step 6: Final answer
    x = 440,644.76

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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.