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Finding the Fourth Proportional to 422,385.82, 633,525.87 and 138,052.60

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Solution

The fourth proportional to 422,385.82, 633,525.87 and 138,052.60 is: 207,061.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,385.82 : 633,525.87 = 138,052.60 : x
  2. Step 2: Convert to fraction form
    422,385.82/633,525.87 = 138,052.60/x
  3. Step 3: Cross multiply
    422,385.82x = 633,525.87 × 138,052.60
  4. Step 4: Simplify right side
    422,385.82x = 87,459,893,520.76
  5. Step 5: Solve for x
    x = 87,459,893,520.76/422,385.82
  6. Step 6: Final answer
    x = 207,061.62

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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.