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Finding the Fourth Proportional to 512,021.25, 706,584.33 and 282,580.65

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Solution

The fourth proportional to 512,021.25, 706,584.33 and 282,580.65 is: 389,958.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,021.25 : 706,584.33 = 282,580.65 : x
  2. Step 2: Convert to fraction form
    512,021.25/706,584.33 = 282,580.65/x
  3. Step 3: Cross multiply
    512,021.25x = 706,584.33 × 282,580.65
  4. Step 4: Simplify right side
    512,021.25x = 199,667,059,251.22
  5. Step 5: Solve for x
    x = 199,667,059,251.22/512,021.25
  6. Step 6: Final answer
    x = 389,958.54

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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.