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Finding the Fourth Proportional to 354,389, 489,056.82 and 195,413

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Solution

The fourth proportional to 354,389, 489,056.82 and 195,413 is: 269,669.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,389 : 489,056.82 = 195,413 : x
  2. Step 2: Convert to fraction form
    354,389/489,056.82 = 195,413/x
  3. Step 3: Cross multiply
    354,389x = 489,056.82 × 195,413
  4. Step 4: Simplify right side
    354,389x = 95,568,060,366.66
  5. Step 5: Solve for x
    x = 95,568,060,366.66/354,389
  6. Step 6: Final answer
    x = 269,669.94

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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.