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Finding the Fourth Proportional to 422,882.50, 634,256.20 and 123,293.02

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Solution

The fourth proportional to 422,882.50, 634,256.20 and 123,293.02 is: 184,919.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,882.50 : 634,256.20 = 123,293.02 : x
  2. Step 2: Convert to fraction form
    422,882.50/634,256.20 = 123,293.02/x
  3. Step 3: Cross multiply
    422,882.50x = 634,256.20 × 123,293.02
  4. Step 4: Simplify right side
    422,882.50x = 78,199,362,351.72
  5. Step 5: Solve for x
    x = 78,199,362,351.72/422,882.50
  6. Step 6: Final answer
    x = 184,919.84

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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.