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Finding the Fourth Proportional to 285,998.40, 428,997.60 and 72,765.90

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Solution

The fourth proportional to 285,998.40, 428,997.60 and 72,765.90 is: 109,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,998.40 : 428,997.60 = 72,765.90 : x
  2. Step 2: Convert to fraction form
    285,998.40/428,997.60 = 72,765.90/x
  3. Step 3: Cross multiply
    285,998.40x = 428,997.60 × 72,765.90
  4. Step 4: Simplify right side
    285,998.40x = 31,216,396,461.84
  5. Step 5: Solve for x
    x = 31,216,396,461.84/285,998.40
  6. Step 6: Final answer
    x = 109,148.85

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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.