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Finding the Fourth Proportional to 354,647.28, 489,413.07 and 227,322.78

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Solution

The fourth proportional to 354,647.28, 489,413.07 and 227,322.78 is: 313,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,647.28 : 489,413.07 = 227,322.78 : x
  2. Step 2: Convert to fraction form
    354,647.28/489,413.07 = 227,322.78/x
  3. Step 3: Cross multiply
    354,647.28x = 489,413.07 × 227,322.78
  4. Step 4: Simplify right side
    354,647.28x = 111,254,739,640.74
  5. Step 5: Solve for x
    x = 111,254,739,640.74/354,647.28
  6. Step 6: Final answer
    x = 313,705.32

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1.5x scale

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.