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Finding the Fourth Proportional to 326,616, 489,924 and 105,000

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Solution

The fourth proportional to 326,616, 489,924 and 105,000 is: 157,500

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,616 : 489,924 = 105,000 : x
  2. Step 2: Convert to fraction form
    326,616/489,924 = 105,000/x
  3. Step 3: Cross multiply
    326,616x = 489,924 × 105,000
  4. Step 4: Simplify right side
    326,616x = 51,442,020,000
  5. Step 5: Solve for x
    x = 51,442,020,000/326,616
  6. Step 6: Final answer
    x = 157,500

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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.