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Finding the Fourth Proportional to 419,390.82, 628,633.71 and 205,910.46

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Solution

The fourth proportional to 419,390.82, 628,633.71 and 205,910.46 is: 308,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,390.82 : 628,633.71 = 205,910.46 : x
  2. Step 2: Convert to fraction form
    419,390.82/628,633.71 = 205,910.46/x
  3. Step 3: Cross multiply
    419,390.82x = 628,633.71 × 205,910.46
  4. Step 4: Simplify right side
    419,390.82x = 129,442,256,397.61
  5. Step 5: Solve for x
    x = 129,442,256,397.61/419,390.82
  6. Step 6: Final answer
    x = 308,643.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.