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Finding the Fourth Proportional to 422,861.98, 633,048.80 and 282,271.90

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Solution

The fourth proportional to 422,861.98, 633,048.80 and 282,271.90 is: 422,577.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,861.98 : 633,048.80 = 282,271.90 : x
  2. Step 2: Convert to fraction form
    422,861.98/633,048.80 = 282,271.90/x
  3. Step 3: Cross multiply
    422,861.98x = 633,048.80 × 282,271.90
  4. Step 4: Simplify right side
    422,861.98x = 178,691,887,568.72
  5. Step 5: Solve for x
    x = 178,691,887,568.72/422,861.98
  6. Step 6: Final answer
    x = 422,577.33

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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.