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Finding the Fourth Proportional to 422,570.72, 632,427.24 and 411,198.32

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Solution

The fourth proportional to 422,570.72, 632,427.24 and 411,198.32 is: 615,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,570.72 : 632,427.24 = 411,198.32 : x
  2. Step 2: Convert to fraction form
    422,570.72/632,427.24 = 411,198.32/x
  3. Step 3: Cross multiply
    422,570.72x = 632,427.24 × 411,198.32
  4. Step 4: Simplify right side
    422,570.72x = 260,053,018,610.24
  5. Step 5: Solve for x
    x = 260,053,018,610.24/422,570.72
  6. Step 6: Final answer
    x = 615,407.09

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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.