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Finding the Fourth Proportional to 643,786, 888,424.68 and 361,162

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Solution

The fourth proportional to 643,786, 888,424.68 and 361,162 is: 498,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,786 : 888,424.68 = 361,162 : x
  2. Step 2: Convert to fraction form
    643,786/888,424.68 = 361,162/x
  3. Step 3: Cross multiply
    643,786x = 888,424.68 × 361,162
  4. Step 4: Simplify right side
    643,786x = 320,865,234,278.16
  5. Step 5: Solve for x
    x = 320,865,234,278.16/643,786
  6. Step 6: Final answer
    x = 498,403.56

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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.