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Finding the Fourth Proportional to 643,693.20, 965,770.20 and 269,830.80

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Solution

The fourth proportional to 643,693.20, 965,770.20 and 269,830.80 is: 404,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,693.20 : 965,770.20 = 269,830.80 : x
  2. Step 2: Convert to fraction form
    643,693.20/965,770.20 = 269,830.80/x
  3. Step 3: Cross multiply
    643,693.20x = 965,770.20 × 269,830.80
  4. Step 4: Simplify right side
    643,693.20x = 260,594,545,682.16
  5. Step 5: Solve for x
    x = 260,594,545,682.16/643,693.20
  6. Step 6: Final answer
    x = 404,842.78

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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.