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Finding the Fourth Proportional to 354,107.76, 488,662.32 and 192,963.84

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Solution

The fourth proportional to 354,107.76, 488,662.32 and 192,963.84 is: 266,286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,107.76 : 488,662.32 = 192,963.84 : x
  2. Step 2: Convert to fraction form
    354,107.76/488,662.32 = 192,963.84/x
  3. Step 3: Cross multiply
    354,107.76x = 488,662.32 × 192,963.84
  4. Step 4: Simplify right side
    354,107.76x = 94,294,157,730.51
  5. Step 5: Solve for x
    x = 94,294,157,730.51/354,107.76
  6. Step 6: Final answer
    x = 266,286.62

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1.5x scale

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.