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Finding the Fourth Proportional to 492,753.06, 680,413.64 and 332,139.78

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Solution

The fourth proportional to 492,753.06, 680,413.64 and 332,139.78 is: 458,632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,753.06 : 680,413.64 = 332,139.78 : x
  2. Step 2: Convert to fraction form
    492,753.06/680,413.64 = 332,139.78/x
  3. Step 3: Cross multiply
    492,753.06x = 680,413.64 × 332,139.78
  4. Step 4: Simplify right side
    492,753.06x = 225,992,435,037.90
  5. Step 5: Solve for x
    x = 225,992,435,037.90/492,753.06
  6. Step 6: Final answer
    x = 458,632.23

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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.