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Finding the Fourth Proportional to 309,806.25, 427,191.12 and 214,146.87

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Solution

The fourth proportional to 309,806.25, 427,191.12 and 214,146.87 is: 295,286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,806.25 : 427,191.12 = 214,146.87 : x
  2. Step 2: Convert to fraction form
    309,806.25/427,191.12 = 214,146.87/x
  3. Step 3: Cross multiply
    309,806.25x = 427,191.12 × 214,146.87
  4. Step 4: Simplify right side
    309,806.25x = 91,481,641,239.79
  5. Step 5: Solve for x
    x = 91,481,641,239.79/309,806.25
  6. Step 6: Final answer
    x = 295,286.62

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1.5x scale

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.