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Finding the Fourth Proportional to 422,840.49, 634,199.22 and 123,240.66

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Solution

The fourth proportional to 422,840.49, 634,199.22 and 123,240.66 is: 184,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,840.49 : 634,199.22 = 123,240.66 : x
  2. Step 2: Convert to fraction form
    422,840.49/634,199.22 = 123,240.66/x
  3. Step 3: Cross multiply
    422,840.49x = 634,199.22 × 123,240.66
  4. Step 4: Simplify right side
    422,840.49x = 78,159,130,444.29
  5. Step 5: Solve for x
    x = 78,159,130,444.29/422,840.49
  6. Step 6: Final answer
    x = 184,843.06

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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.