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Finding the Fourth Proportional to 290,657.97, 435,902.20 and 113,122.78

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Solution

The fourth proportional to 290,657.97, 435,902.20 and 113,122.78 is: 169,651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,657.97 : 435,902.20 = 113,122.78 : x
  2. Step 2: Convert to fraction form
    290,657.97/435,902.20 = 113,122.78/x
  3. Step 3: Cross multiply
    290,657.97x = 435,902.20 × 113,122.78
  4. Step 4: Simplify right side
    290,657.97x = 49,310,467,299.55
  5. Step 5: Solve for x
    x = 49,310,467,299.55/290,657.97
  6. Step 6: Final answer
    x = 169,651.18

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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.