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Finding the Fourth Proportional to 308,413.97, 462,435.76 and 128,282.73

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Solution

The fourth proportional to 308,413.97, 462,435.76 and 128,282.73 is: 192,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,413.97 : 462,435.76 = 128,282.73 : x
  2. Step 2: Convert to fraction form
    308,413.97/462,435.76 = 128,282.73/x
  3. Step 3: Cross multiply
    308,413.97x = 462,435.76 × 128,282.73
  4. Step 4: Simplify right side
    308,413.97x = 59,322,521,742.42
  5. Step 5: Solve for x
    x = 59,322,521,742.42/308,413.97
  6. Step 6: Final answer
    x = 192,347.06

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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.