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Finding the Fourth Proportional to 290,532.66, 435,824.10 and 80,170.60

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Solution

The fourth proportional to 290,532.66, 435,824.10 and 80,170.60 is: 120,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,532.66 : 435,824.10 = 80,170.60 : x
  2. Step 2: Convert to fraction form
    290,532.66/435,824.10 = 80,170.60/x
  3. Step 3: Cross multiply
    290,532.66x = 435,824.10 × 80,170.60
  4. Step 4: Simplify right side
    290,532.66x = 34,940,279,591.46
  5. Step 5: Solve for x
    x = 34,940,279,591.46/290,532.66
  6. Step 6: Final answer
    x = 120,262.83

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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.