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Finding the Fourth Proportional to 422,982.85, 583,855.92 and 378,142.52

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Solution

The fourth proportional to 422,982.85, 583,855.92 and 378,142.52 is: 521,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,982.85 : 583,855.92 = 378,142.52 : x
  2. Step 2: Convert to fraction form
    422,982.85/583,855.92 = 378,142.52/x
  3. Step 3: Cross multiply
    422,982.85x = 583,855.92 × 378,142.52
  4. Step 4: Simplify right side
    422,982.85x = 220,780,748,905.72
  5. Step 5: Solve for x
    x = 220,780,748,905.72/422,982.85
  6. Step 6: Final answer
    x = 521,961.47

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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.