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Finding the Fourth Proportional to 285,638.40, 428,457.60 and 72,405.90

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Solution

The fourth proportional to 285,638.40, 428,457.60 and 72,405.90 is: 108,608.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,638.40 : 428,457.60 = 72,405.90 : x
  2. Step 2: Convert to fraction form
    285,638.40/428,457.60 = 72,405.90/x
  3. Step 3: Cross multiply
    285,638.40x = 428,457.60 × 72,405.90
  4. Step 4: Simplify right side
    285,638.40x = 31,022,858,139.84
  5. Step 5: Solve for x
    x = 31,022,858,139.84/285,638.40
  6. Step 6: Final answer
    x = 108,608.85

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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.