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Finding the Fourth Proportional to 290,508.73, 435,788.20 and 80,146.67

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Solution

The fourth proportional to 290,508.73, 435,788.20 and 80,146.67 is: 120,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,508.73 : 435,788.20 = 80,146.67 : x
  2. Step 2: Convert to fraction form
    290,508.73/435,788.20 = 80,146.67/x
  3. Step 3: Cross multiply
    290,508.73x = 435,788.20 × 80,146.67
  4. Step 4: Simplify right side
    290,508.73x = 34,926,970,976.54
  5. Step 5: Solve for x
    x = 34,926,970,976.54/290,508.73
  6. Step 6: Final answer
    x = 120,226.92

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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.