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Finding the Fourth Proportional to 680,099.91, 1,020,023 and 275,186

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Solution

The fourth proportional to 680,099.91, 1,020,023 and 275,186 is: 412,727.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,099.91 : 1,020,023 = 275,186 : x
  2. Step 2: Convert to fraction form
    680,099.91/1,020,023 = 275,186/x
  3. Step 3: Cross multiply
    680,099.91x = 1,020,023 × 275,186
  4. Step 4: Simplify right side
    680,099.91x = 280,696,049,278
  5. Step 5: Solve for x
    x = 280,696,049,278/680,099.91
  6. Step 6: Final answer
    x = 412,727.67

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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.