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Finding the Fourth Proportional to 294,394,471.80, 441,591,707.70 and 292,378,932.60

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Solution

The fourth proportional to 294,394,471.80, 441,591,707.70 and 292,378,932.60 is: 438,568,398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,394,471.80 : 441,591,707.70 = 292,378,932.60 : x
  2. Step 2: Convert to fraction form
    294,394,471.80/441,591,707.70 = 292,378,932.60/x
  3. Step 3: Cross multiply
    294,394,471.80x = 441,591,707.70 × 292,378,932.60
  4. Step 4: Simplify right side
    294,394,471.80x = 129,112,112,142,337,216
  5. Step 5: Solve for x
    x = 129,112,112,142,337,216/294,394,471.80
  6. Step 6: Final answer
    x = 438,568,398.90

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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.