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Finding the Fourth Proportional to 442,756.80, 664,063.92 and 127,141.92

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Solution

The fourth proportional to 442,756.80, 664,063.92 and 127,141.92 is: 190,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,756.80 : 664,063.92 = 127,141.92 : x
  2. Step 2: Convert to fraction form
    442,756.80/664,063.92 = 127,141.92/x
  3. Step 3: Cross multiply
    442,756.80x = 664,063.92 × 127,141.92
  4. Step 4: Simplify right side
    442,756.80x = 84,430,361,791.53
  5. Step 5: Solve for x
    x = 84,430,361,791.53/442,756.80
  6. Step 6: Final answer
    x = 190,692.41

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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.