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Finding the Fourth Proportional to 422,490.29, 633,735.90 and 106,947.20

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Solution

The fourth proportional to 422,490.29, 633,735.90 and 106,947.20 is: 160,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,490.29 : 633,735.90 = 106,947.20 : x
  2. Step 2: Convert to fraction form
    422,490.29/633,735.90 = 106,947.20/x
  3. Step 3: Cross multiply
    422,490.29x = 633,735.90 × 106,947.20
  4. Step 4: Simplify right side
    422,490.29x = 67,776,280,044.48
  5. Step 5: Solve for x
    x = 67,776,280,044.48/422,490.29
  6. Step 6: Final answer
    x = 160,420.92

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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.