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Finding the Fourth Proportional to 354,039.75, 488,580.45 and 192,894.75

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Solution

The fourth proportional to 354,039.75, 488,580.45 and 192,894.75 is: 266,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,039.75 : 488,580.45 = 192,894.75 : x
  2. Step 2: Convert to fraction form
    354,039.75/488,580.45 = 192,894.75/x
  3. Step 3: Cross multiply
    354,039.75x = 488,580.45 × 192,894.75
  4. Step 4: Simplify right side
    354,039.75x = 94,244,603,757.64
  5. Step 5: Solve for x
    x = 94,244,603,757.64/354,039.75
  6. Step 6: Final answer
    x = 266,197.80

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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.