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Finding the Fourth Proportional to 354,144.39, 488,705 and 192,995.98

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Solution

The fourth proportional to 354,144.39, 488,705 and 192,995.98 is: 266,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,144.39 : 488,705 = 192,995.98 : x
  2. Step 2: Convert to fraction form
    354,144.39/488,705 = 192,995.98/x
  3. Step 3: Cross multiply
    354,144.39x = 488,705 × 192,995.98
  4. Step 4: Simplify right side
    354,144.39x = 94,318,100,405.90
  5. Step 5: Solve for x
    x = 94,318,100,405.90/354,144.39
  6. Step 6: Final answer
    x = 266,326.68

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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.