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Finding the Fourth Proportional to 326,013.98, 489,137.33 and 198,190.32

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Solution

The fourth proportional to 326,013.98, 489,137.33 and 198,190.32 is: 297,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,013.98 : 489,137.33 = 198,190.32 : x
  2. Step 2: Convert to fraction form
    326,013.98/489,137.33 = 198,190.32/x
  3. Step 3: Cross multiply
    326,013.98x = 489,137.33 × 198,190.32
  4. Step 4: Simplify right side
    326,013.98x = 96,942,283,956.65
  5. Step 5: Solve for x
    x = 96,942,283,956.65/326,013.98
  6. Step 6: Final answer
    x = 297,356.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.