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Finding the Fourth Proportional to 354,659.80, 489,363.38 and 211,433.16

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Solution

The fourth proportional to 354,659.80, 489,363.38 and 211,433.16 is: 291,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,659.80 : 489,363.38 = 211,433.16 : x
  2. Step 2: Convert to fraction form
    354,659.80/489,363.38 = 211,433.16/x
  3. Step 3: Cross multiply
    354,659.80x = 489,363.38 × 211,433.16
  4. Step 4: Simplify right side
    354,659.80x = 103,467,645,821.68
  5. Step 5: Solve for x
    x = 103,467,645,821.68/354,659.80
  6. Step 6: Final answer
    x = 291,737.73

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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.