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Finding the Fourth Proportional to 486,102.12, 670,961.73 and 282,198.84

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Solution

The fourth proportional to 486,102.12, 670,961.73 and 282,198.84 is: 389,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,102.12 : 670,961.73 = 282,198.84 : x
  2. Step 2: Convert to fraction form
    486,102.12/670,961.73 = 282,198.84/x
  3. Step 3: Cross multiply
    486,102.12x = 670,961.73 × 282,198.84
  4. Step 4: Simplify right side
    486,102.12x = 189,344,621,890.39
  5. Step 5: Solve for x
    x = 189,344,621,890.39/486,102.12
  6. Step 6: Final answer
    x = 389,516.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.