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Finding the Fourth Proportional to 398,287.53, 597,413.61 and 128,409.57

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Solution

The fourth proportional to 398,287.53, 597,413.61 and 128,409.57 is: 192,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,287.53 : 597,413.61 = 128,409.57 : x
  2. Step 2: Convert to fraction form
    398,287.53/597,413.61 = 128,409.57/x
  3. Step 3: Cross multiply
    398,287.53x = 597,413.61 × 128,409.57
  4. Step 4: Simplify right side
    398,287.53x = 76,713,624,772.25
  5. Step 5: Solve for x
    x = 76,713,624,772.25/398,287.53
  6. Step 6: Final answer
    x = 192,608.65

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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.