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Finding the Fourth Proportional to 422,573.72, 632,431.74 and 411,201.32

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Solution

The fourth proportional to 422,573.72, 632,431.74 and 411,201.32 is: 615,411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,573.72 : 632,431.74 = 411,201.32 : x
  2. Step 2: Convert to fraction form
    422,573.72/632,431.74 = 411,201.32/x
  3. Step 3: Cross multiply
    422,573.72x = 632,431.74 × 411,201.32
  4. Step 4: Simplify right side
    422,573.72x = 260,056,766,297.90
  5. Step 5: Solve for x
    x = 260,056,766,297.90/422,573.72
  6. Step 6: Final answer
    x = 615,411.59

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