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Finding the Fourth Proportional to 392,782.38, 589,431.91 and 215,413.95

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Solution

The fourth proportional to 392,782.38, 589,431.91 and 215,413.95 is: 323,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,782.38 : 589,431.91 = 215,413.95 : x
  2. Step 2: Convert to fraction form
    392,782.38/589,431.91 = 215,413.95/x
  3. Step 3: Cross multiply
    392,782.38x = 589,431.91 × 215,413.95
  4. Step 4: Simplify right side
    392,782.38x = 126,971,855,355.18
  5. Step 5: Solve for x
    x = 126,971,855,355.18/392,782.38
  6. Step 6: Final answer
    x = 323,262.60

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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.