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Finding the Fourth Proportional to 354,792, 489,613.60 and 195,816

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Solution

The fourth proportional to 354,792, 489,613.60 and 195,816 is: 270,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,792 : 489,613.60 = 195,816 : x
  2. Step 2: Convert to fraction form
    354,792/489,613.60 = 195,816/x
  3. Step 3: Cross multiply
    354,792x = 489,613.60 × 195,816
  4. Step 4: Simplify right side
    354,792x = 95,874,176,697.60
  5. Step 5: Solve for x
    x = 95,874,176,697.60/354,792
  6. Step 6: Final answer
    x = 270,226.43

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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.