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Finding the Fourth Proportional to 490,480.80, 735,638.18 and 135,495.86

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Solution

The fourth proportional to 490,480.80, 735,638.18 and 135,495.86 is: 203,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,480.80 : 735,638.18 = 135,495.86 : x
  2. Step 2: Convert to fraction form
    490,480.80/735,638.18 = 135,495.86/x
  3. Step 3: Cross multiply
    490,480.80x = 735,638.18 × 135,495.86
  4. Step 4: Simplify right side
    490,480.80x = 99,675,923,492.26
  5. Step 5: Solve for x
    x = 99,675,923,492.26/490,480.80
  6. Step 6: Final answer
    x = 203,220.85

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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.