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Finding the Fourth Proportional to 422,820.30, 634,336.29 and 123,300.92

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Solution

The fourth proportional to 422,820.30, 634,336.29 and 123,300.92 is: 184,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,820.30 : 634,336.29 = 123,300.92 : x
  2. Step 2: Convert to fraction form
    422,820.30/634,336.29 = 123,300.92/x
  3. Step 3: Cross multiply
    422,820.30x = 634,336.29 × 123,300.92
  4. Step 4: Simplify right side
    422,820.30x = 78,214,244,974.71
  5. Step 5: Solve for x
    x = 78,214,244,974.71/422,820.30
  6. Step 6: Final answer
    x = 184,982.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.