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Finding the Fourth Proportional to 643,852.44, 965,950.42 and 223,127.96

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Solution

The fourth proportional to 643,852.44, 965,950.42 and 223,127.96 is: 334,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,852.44 : 965,950.42 = 223,127.96 : x
  2. Step 2: Convert to fraction form
    643,852.44/965,950.42 = 223,127.96/x
  3. Step 3: Cross multiply
    643,852.44x = 965,950.42 × 223,127.96
  4. Step 4: Simplify right side
    643,852.44x = 215,530,546,675.74
  5. Step 5: Solve for x
    x = 215,530,546,675.74/643,852.44
  6. Step 6: Final answer
    x = 334,751.46

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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.