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Finding the Fourth Proportional to 290,532.21, 435,786.43 and 80,164.77

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Solution

The fourth proportional to 290,532.21, 435,786.43 and 80,164.77 is: 120,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,532.21 : 435,786.43 = 80,164.77 : x
  2. Step 2: Convert to fraction form
    290,532.21/435,786.43 = 80,164.77/x
  3. Step 3: Cross multiply
    290,532.21x = 435,786.43 × 80,164.77
  4. Step 4: Simplify right side
    290,532.21x = 34,934,718,930.07
  5. Step 5: Solve for x
    x = 34,934,718,930.07/290,532.21
  6. Step 6: Final answer
    x = 120,243.88

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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.