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Finding the Fourth Proportional to 643,694.76, 965,542.95 and 222,970.59

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Solution

The fourth proportional to 643,694.76, 965,542.95 and 222,970.59 is: 334,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,694.76 : 965,542.95 = 222,970.59 : x
  2. Step 2: Convert to fraction form
    643,694.76/965,542.95 = 222,970.59/x
  3. Step 3: Cross multiply
    643,694.76x = 965,542.95 × 222,970.59
  4. Step 4: Simplify right side
    643,694.76x = 215,287,681,231.84
  5. Step 5: Solve for x
    x = 215,287,681,231.84/643,694.76
  6. Step 6: Final answer
    x = 334,456.17

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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.