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Finding the Fourth Proportional to 394,052.40, 591,224.40 and 127,821.60

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Solution

The fourth proportional to 394,052.40, 591,224.40 and 127,821.60 is: 191,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,052.40 : 591,224.40 = 127,821.60 : x
  2. Step 2: Convert to fraction form
    394,052.40/591,224.40 = 127,821.60/x
  3. Step 3: Cross multiply
    394,052.40x = 591,224.40 × 127,821.60
  4. Step 4: Simplify right side
    394,052.40x = 75,571,248,767.04
  5. Step 5: Solve for x
    x = 75,571,248,767.04/394,052.40
  6. Step 6: Final answer
    x = 191,779.69

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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.