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Finding the Fourth Proportional to 283,363.38, 422,834.85 and 258,212.88

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Solution

The fourth proportional to 283,363.38, 422,834.85 and 258,212.88 is: 385,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,363.38 : 422,834.85 = 258,212.88 : x
  2. Step 2: Convert to fraction form
    283,363.38/422,834.85 = 258,212.88/x
  3. Step 3: Cross multiply
    283,363.38x = 422,834.85 × 258,212.88
  4. Step 4: Simplify right side
    283,363.38x = 109,181,404,382.87
  5. Step 5: Solve for x
    x = 109,181,404,382.87/283,363.38
  6. Step 6: Final answer
    x = 385,305.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.