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Finding the Fourth Proportional to 354,864, 489,712.64 and 195,888

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Solution

The fourth proportional to 354,864, 489,712.64 and 195,888 is: 270,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,864 : 489,712.64 = 195,888 : x
  2. Step 2: Convert to fraction form
    354,864/489,712.64 = 195,888/x
  3. Step 3: Cross multiply
    354,864x = 489,712.64 × 195,888
  4. Step 4: Simplify right side
    354,864x = 95,928,829,624.32
  5. Step 5: Solve for x
    x = 95,928,829,624.32/354,864
  6. Step 6: Final answer
    x = 270,325.62

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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.