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Finding the Fourth Proportional to 419,543.45, 628,893.82 and 135,024.92

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Solution

The fourth proportional to 419,543.45, 628,893.82 and 135,024.92 is: 202,401.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,543.45 : 628,893.82 = 135,024.92 : x
  2. Step 2: Convert to fraction form
    419,543.45/628,893.82 = 135,024.92/x
  3. Step 3: Cross multiply
    419,543.45x = 628,893.82 × 135,024.92
  4. Step 4: Simplify right side
    419,543.45x = 84,916,337,733.99
  5. Step 5: Solve for x
    x = 84,916,337,733.99/419,543.45
  6. Step 6: Final answer
    x = 202,401.77

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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.