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Finding the Fourth Proportional to 664,413.84, 995,920.92 and 331,290

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Solution

The fourth proportional to 664,413.84, 995,920.92 and 331,290 is: 496,586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,413.84 : 995,920.92 = 331,290 : x
  2. Step 2: Convert to fraction form
    664,413.84/995,920.92 = 331,290/x
  3. Step 3: Cross multiply
    664,413.84x = 995,920.92 × 331,290
  4. Step 4: Simplify right side
    664,413.84x = 329,938,641,586.80
  5. Step 5: Solve for x
    x = 329,938,641,586.80/664,413.84
  6. Step 6: Final answer
    x = 496,586.05

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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.