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Finding the Fourth Proportional to 422,505.98, 633,862.85 and 122,989.15

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Solution

The fourth proportional to 422,505.98, 633,862.85 and 122,989.15 is: 184,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,505.98 : 633,862.85 = 122,989.15 : x
  2. Step 2: Convert to fraction form
    422,505.98/633,862.85 = 122,989.15/x
  3. Step 3: Cross multiply
    422,505.98x = 633,862.85 × 122,989.15
  4. Step 4: Simplify right side
    422,505.98x = 77,958,251,553.42
  5. Step 5: Solve for x
    x = 77,958,251,553.42/422,505.98
  6. Step 6: Final answer
    x = 184,513.96

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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.