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Finding the Fourth Proportional to 643,367.79, 964,067.52 and 343,890.96

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Solution

The fourth proportional to 643,367.79, 964,067.52 and 343,890.96 is: 515,310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,367.79 : 964,067.52 = 343,890.96 : x
  2. Step 2: Convert to fraction form
    643,367.79/964,067.52 = 343,890.96/x
  3. Step 3: Cross multiply
    643,367.79x = 964,067.52 × 343,890.96
  4. Step 4: Simplify right side
    643,367.79x = 331,534,104,957.62
  5. Step 5: Solve for x
    x = 331,534,104,957.62/643,367.79
  6. Step 6: Final answer
    x = 515,310.39

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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.