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Finding the Fourth Proportional to 290,861.20, 435,754.20 and 165,830.80

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Solution

The fourth proportional to 290,861.20, 435,754.20 and 165,830.80 is: 248,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,861.20 : 435,754.20 = 165,830.80 : x
  2. Step 2: Convert to fraction form
    290,861.20/435,754.20 = 165,830.80/x
  3. Step 3: Cross multiply
    290,861.20x = 435,754.20 × 165,830.80
  4. Step 4: Simplify right side
    290,861.20x = 72,261,467,589.36
  5. Step 5: Solve for x
    x = 72,261,467,589.36/290,861.20
  6. Step 6: Final answer
    x = 248,439.69

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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.