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Finding the Fourth Proportional to 680,940.42, 939,415.77 and 405,243.15

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Solution

The fourth proportional to 680,940.42, 939,415.77 and 405,243.15 is: 559,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,940.42 : 939,415.77 = 405,243.15 : x
  2. Step 2: Convert to fraction form
    680,940.42/939,415.77 = 405,243.15/x
  3. Step 3: Cross multiply
    680,940.42x = 939,415.77 × 405,243.15
  4. Step 4: Simplify right side
    680,940.42x = 380,691,805,794.48
  5. Step 5: Solve for x
    x = 380,691,805,794.48/680,940.42
  6. Step 6: Final answer
    x = 559,067.72

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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.