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Finding the Fourth Proportional to 422,571.72, 632,428.74 and 411,199.32

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Solution

The fourth proportional to 422,571.72, 632,428.74 and 411,199.32 is: 615,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,571.72 : 632,428.74 = 411,199.32 : x
  2. Step 2: Convert to fraction form
    422,571.72/632,428.74 = 411,199.32/x
  3. Step 3: Cross multiply
    422,571.72x = 632,428.74 × 411,199.32
  4. Step 4: Simplify right side
    422,571.72x = 260,054,267,836.46
  5. Step 5: Solve for x
    x = 260,054,267,836.46/422,571.72
  6. Step 6: Final answer
    x = 615,408.59

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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.