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Finding the Fourth Proportional to 300,600.01, 414,830.78 and 205,104.66

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Solution

The fourth proportional to 300,600.01, 414,830.78 and 205,104.66 is: 283,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,600.01 : 414,830.78 = 205,104.66 : x
  2. Step 2: Convert to fraction form
    300,600.01/414,830.78 = 205,104.66/x
  3. Step 3: Cross multiply
    300,600.01x = 414,830.78 × 205,104.66
  4. Step 4: Simplify right side
    300,600.01x = 85,083,726,089.43
  5. Step 5: Solve for x
    x = 85,083,726,089.43/300,600.01
  6. Step 6: Final answer
    x = 283,046.32

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1.5x scale

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.