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Finding the Fourth Proportional to 422,384.82, 633,524.37 and 138,051.60

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Solution

The fourth proportional to 422,384.82, 633,524.37 and 138,051.60 is: 207,060.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,384.82 : 633,524.37 = 138,051.60 : x
  2. Step 2: Convert to fraction form
    422,384.82/633,524.37 = 138,051.60/x
  3. Step 3: Cross multiply
    422,384.82x = 633,524.37 × 138,051.60
  4. Step 4: Simplify right side
    422,384.82x = 87,459,052,917.49
  5. Step 5: Solve for x
    x = 87,459,052,917.49/422,384.82
  6. Step 6: Final answer
    x = 207,060.12

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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.