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Finding the Fourth Proportional to 442,163.85, 663,374.97 and 142,637.82

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Solution

The fourth proportional to 442,163.85, 663,374.97 and 142,637.82 is: 213,998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,163.85 : 663,374.97 = 142,637.82 : x
  2. Step 2: Convert to fraction form
    442,163.85/663,374.97 = 142,637.82/x
  3. Step 3: Cross multiply
    442,163.85x = 663,374.97 × 142,637.82
  4. Step 4: Simplify right side
    442,163.85x = 94,622,359,563.37
  5. Step 5: Solve for x
    x = 94,622,359,563.37/442,163.85
  6. Step 6: Final answer
    x = 213,998.41

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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.