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Finding the Fourth Proportional to 422,730.95, 633,912.10 and 159,890.63

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Solution

The fourth proportional to 422,730.95, 633,912.10 and 159,890.63 is: 239,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,730.95 : 633,912.10 = 159,890.63 : x
  2. Step 2: Convert to fraction form
    422,730.95/633,912.10 = 159,890.63/x
  3. Step 3: Cross multiply
    422,730.95x = 633,912.10 × 159,890.63
  4. Step 4: Simplify right side
    422,730.95x = 101,356,601,464.34
  5. Step 5: Solve for x
    x = 101,356,601,464.34/422,730.95
  6. Step 6: Final answer
    x = 239,766.22

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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.