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Finding the Fourth Proportional to 422,734.32, 633,917.16 and 159,894

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Solution

The fourth proportional to 422,734.32, 633,917.16 and 159,894 is: 239,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,734.32 : 633,917.16 = 159,894 : x
  2. Step 2: Convert to fraction form
    422,734.32/633,917.16 = 159,894/x
  3. Step 3: Cross multiply
    422,734.32x = 633,917.16 × 159,894
  4. Step 4: Simplify right side
    422,734.32x = 101,359,550,381.04
  5. Step 5: Solve for x
    x = 101,359,550,381.04/422,734.32
  6. Step 6: Final answer
    x = 239,771.28

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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.