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Finding the Fourth Proportional to 392,781.80, 588,783.90 and 192,938.60

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Solution

The fourth proportional to 392,781.80, 588,783.90 and 192,938.60 is: 289,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,781.80 : 588,783.90 = 192,938.60 : x
  2. Step 2: Convert to fraction form
    392,781.80/588,783.90 = 192,938.60/x
  3. Step 3: Cross multiply
    392,781.80x = 588,783.90 × 192,938.60
  4. Step 4: Simplify right side
    392,781.80x = 113,599,141,368.54
  5. Step 5: Solve for x
    x = 113,599,141,368.54/392,781.80
  6. Step 6: Final answer
    x = 289,216.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.