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Finding the Fourth Proportional to 290,508.76, 435,788.25 and 80,146.69

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Solution

The fourth proportional to 290,508.76, 435,788.25 and 80,146.69 is: 120,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,508.76 : 435,788.25 = 80,146.69 : x
  2. Step 2: Convert to fraction form
    290,508.76/435,788.25 = 80,146.69/x
  3. Step 3: Cross multiply
    290,508.76x = 435,788.25 × 80,146.69
  4. Step 4: Simplify right side
    290,508.76x = 34,926,986,839.68
  5. Step 5: Solve for x
    x = 34,926,986,839.68/290,508.76
  6. Step 6: Final answer
    x = 120,226.97

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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.