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Finding the Fourth Proportional to 422,446.66, 633,664.50 and 102,601.15

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Solution

The fourth proportional to 422,446.66, 633,664.50 and 102,601.15 is: 153,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,446.66 : 633,664.50 = 102,601.15 : x
  2. Step 2: Convert to fraction form
    422,446.66/633,664.50 = 102,601.15/x
  3. Step 3: Cross multiply
    422,446.66x = 633,664.50 × 102,601.15
  4. Step 4: Simplify right side
    422,446.66x = 65,014,706,414.18
  5. Step 5: Solve for x
    x = 65,014,706,414.18/422,446.66
  6. Step 6: Final answer
    x = 153,900.39

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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.