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Finding the Fourth Proportional to 422,904.33, 634,355.96 and 103,055.85

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Solution

The fourth proportional to 422,904.33, 634,355.96 and 103,055.85 is: 154,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,904.33 : 634,355.96 = 103,055.85 : x
  2. Step 2: Convert to fraction form
    422,904.33/634,355.96 = 103,055.85/x
  3. Step 3: Cross multiply
    422,904.33x = 634,355.96 × 103,055.85
  4. Step 4: Simplify right side
    422,904.33x = 65,374,092,145.09
  5. Step 5: Solve for x
    x = 65,374,092,145.09/422,904.33
  6. Step 6: Final answer
    x = 154,583.64

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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.