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Finding the Fourth Proportional to 290,310.82, 435,517.29 and 132,555.22

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Solution

The fourth proportional to 290,310.82, 435,517.29 and 132,555.22 is: 198,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,310.82 : 435,517.29 = 132,555.22 : x
  2. Step 2: Convert to fraction form
    290,310.82/435,517.29 = 132,555.22/x
  3. Step 3: Cross multiply
    290,310.82x = 435,517.29 × 132,555.22
  4. Step 4: Simplify right side
    290,310.82x = 57,730,089,100.96
  5. Step 5: Solve for x
    x = 57,730,089,100.96/290,310.82
  6. Step 6: Final answer
    x = 198,856.14

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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.