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Finding the Fourth Proportional to 422,833.50, 634,188.74 and 123,233.64

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Solution

The fourth proportional to 422,833.50, 634,188.74 and 123,233.64 is: 184,832.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,833.50 : 634,188.74 = 123,233.64 : x
  2. Step 2: Convert to fraction form
    422,833.50/634,188.74 = 123,233.64/x
  3. Step 3: Cross multiply
    422,833.50x = 634,188.74 × 123,233.64
  4. Step 4: Simplify right side
    422,833.50x = 78,153,386,877.21
  5. Step 5: Solve for x
    x = 78,153,386,877.21/422,833.50
  6. Step 6: Final answer
    x = 184,832.53

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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.