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Finding the Fourth Proportional to 422,860.98, 633,047.31 and 282,270.90

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Solution

The fourth proportional to 422,860.98, 633,047.31 and 282,270.90 is: 422,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,860.98 : 633,047.31 = 282,270.90 : x
  2. Step 2: Convert to fraction form
    422,860.98/633,047.31 = 282,270.90/x
  3. Step 3: Cross multiply
    422,860.98x = 633,047.31 × 282,270.90
  4. Step 4: Simplify right side
    422,860.98x = 178,690,833,936.28
  5. Step 5: Solve for x
    x = 178,690,833,936.28/422,860.98
  6. Step 6: Final answer
    x = 422,575.84

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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.