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Finding the Fourth Proportional to 290,243.78, 435,198.05 and 112,543.19

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Solution

The fourth proportional to 290,243.78, 435,198.05 and 112,543.19 is: 168,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,243.78 : 435,198.05 = 112,543.19 : x
  2. Step 2: Convert to fraction form
    290,243.78/435,198.05 = 112,543.19/x
  3. Step 3: Cross multiply
    290,243.78x = 435,198.05 × 112,543.19
  4. Step 4: Simplify right side
    290,243.78x = 48,978,577,180.79
  5. Step 5: Solve for x
    x = 48,978,577,180.79/290,243.78
  6. Step 6: Final answer
    x = 168,749.79

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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.