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Finding the Fourth Proportional to 806,770.82, 1,210,145.15 and 274,662.92

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Solution

The fourth proportional to 806,770.82, 1,210,145.15 and 274,662.92 is: 411,990.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,770.82 : 1,210,145.15 = 274,662.92 : x
  2. Step 2: Convert to fraction form
    806,770.82/1,210,145.15 = 274,662.92/x
  3. Step 3: Cross multiply
    806,770.82x = 1,210,145.15 × 274,662.92
  4. Step 4: Simplify right side
    806,770.82x = 332,382,000,522.84
  5. Step 5: Solve for x
    x = 332,382,000,522.84/806,770.82
  6. Step 6: Final answer
    x = 411,990.61

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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.