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Finding the Fourth Proportional to 512,945.92, 707,843.32 and 283,491.34

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Solution

The fourth proportional to 512,945.92, 707,843.32 and 283,491.34 is: 391,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,945.92 : 707,843.32 = 283,491.34 : x
  2. Step 2: Convert to fraction form
    512,945.92/707,843.32 = 283,491.34/x
  3. Step 3: Cross multiply
    512,945.92x = 707,843.32 × 283,491.34
  4. Step 4: Simplify right side
    512,945.92x = 200,667,454,394.77
  5. Step 5: Solve for x
    x = 200,667,454,394.77/512,945.92
  6. Step 6: Final answer
    x = 391,205.87

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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.