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Finding the Fourth Proportional to 358,690.35, 494,976.72 and 205,618.80

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Solution

The fourth proportional to 358,690.35, 494,976.72 and 205,618.80 is: 283,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,690.35 : 494,976.72 = 205,618.80 : x
  2. Step 2: Convert to fraction form
    358,690.35/494,976.72 = 205,618.80/x
  3. Step 3: Cross multiply
    358,690.35x = 494,976.72 × 205,618.80
  4. Step 4: Simplify right side
    358,690.35x = 101,776,520,664.96
  5. Step 5: Solve for x
    x = 101,776,520,664.96/358,690.35
  6. Step 6: Final answer
    x = 283,744.79

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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.