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Finding the Fourth Proportional to 394,588.80, 591,969.60 and 195,004.80

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Solution

The fourth proportional to 394,588.80, 591,969.60 and 195,004.80 is: 292,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,588.80 : 591,969.60 = 195,004.80 : x
  2. Step 2: Convert to fraction form
    394,588.80/591,969.60 = 195,004.80/x
  3. Step 3: Cross multiply
    394,588.80x = 591,969.60 × 195,004.80
  4. Step 4: Simplify right side
    394,588.80x = 115,436,913,454.08
  5. Step 5: Solve for x
    x = 115,436,913,454.08/394,588.80
  6. Step 6: Final answer
    x = 292,549.90

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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.