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Finding the Fourth Proportional to 354,109.52, 488,664.78 and 192,965.88

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Solution

The fourth proportional to 354,109.52, 488,664.78 and 192,965.88 is: 266,289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,109.52 : 488,664.78 = 192,965.88 : x
  2. Step 2: Convert to fraction form
    354,109.52/488,664.78 = 192,965.88/x
  3. Step 3: Cross multiply
    354,109.52x = 488,664.78 × 192,965.88
  4. Step 4: Simplify right side
    354,109.52x = 94,295,629,297.71
  5. Step 5: Solve for x
    x = 94,295,629,297.71/354,109.52
  6. Step 6: Final answer
    x = 266,289.45

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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.