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Finding the Fourth Proportional to 354,137.50, 488,709.75 and 195,161.50

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Solution

The fourth proportional to 354,137.50, 488,709.75 and 195,161.50 is: 269,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,137.50 : 488,709.75 = 195,161.50 : x
  2. Step 2: Convert to fraction form
    354,137.50/488,709.75 = 195,161.50/x
  3. Step 3: Cross multiply
    354,137.50x = 488,709.75 × 195,161.50
  4. Step 4: Simplify right side
    354,137.50x = 95,377,327,874.63
  5. Step 5: Solve for x
    x = 95,377,327,874.63/354,137.50
  6. Step 6: Final answer
    x = 269,322.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.