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Finding the Fourth Proportional to 809,800.26, 1,214,575.86 and 270,066

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Solution

The fourth proportional to 809,800.26, 1,214,575.86 and 270,066 is: 405,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,800.26 : 1,214,575.86 = 270,066 : x
  2. Step 2: Convert to fraction form
    809,800.26/1,214,575.86 = 270,066/x
  3. Step 3: Cross multiply
    809,800.26x = 1,214,575.86 × 270,066
  4. Step 4: Simplify right side
    809,800.26x = 328,015,644,206.76
  5. Step 5: Solve for x
    x = 328,015,644,206.76/809,800.26
  6. Step 6: Final answer
    x = 405,057.47

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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.