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Finding the Fourth Proportional to 412,618.60, 569,413.20 and 231,330.57

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Solution

The fourth proportional to 412,618.60, 569,413.20 and 231,330.57 is: 319,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,618.60 : 569,413.20 = 231,330.57 : x
  2. Step 2: Convert to fraction form
    412,618.60/569,413.20 = 231,330.57/x
  3. Step 3: Cross multiply
    412,618.60x = 569,413.20 × 231,330.57
  4. Step 4: Simplify right side
    412,618.60x = 131,722,680,121.52
  5. Step 5: Solve for x
    x = 131,722,680,121.52/412,618.60
  6. Step 6: Final answer
    x = 319,235.92

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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.