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Finding the Fourth Proportional to 643,409.60, 965,728.80 and 550,020.80

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Solution

The fourth proportional to 643,409.60, 965,728.80 and 550,020.80 is: 825,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,409.60 : 965,728.80 = 550,020.80 : x
  2. Step 2: Convert to fraction form
    643,409.60/965,728.80 = 550,020.80/x
  3. Step 3: Cross multiply
    643,409.60x = 965,728.80 × 550,020.80
  4. Step 4: Simplify right side
    643,409.60x = 531,170,927,159.04
  5. Step 5: Solve for x
    x = 531,170,927,159.04/643,409.60
  6. Step 6: Final answer
    x = 825,556.42

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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.