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Finding the Fourth Proportional to 354,140.50, 488,713.90 and 195,164.50

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Solution

The fourth proportional to 354,140.50, 488,713.90 and 195,164.50 is: 269,327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,140.50 : 488,713.90 = 195,164.50 : x
  2. Step 2: Convert to fraction form
    354,140.50/488,713.90 = 195,164.50/x
  3. Step 3: Cross multiply
    354,140.50x = 488,713.90 × 195,164.50
  4. Step 4: Simplify right side
    354,140.50x = 95,379,603,936.55
  5. Step 5: Solve for x
    x = 95,379,603,936.55/354,140.50
  6. Step 6: Final answer
    x = 269,327.02

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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.