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Finding the Fourth Proportional to 394,739.76, 591,584.76 and 341,901.84

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Solution

The fourth proportional to 394,739.76, 591,584.76 and 341,901.84 is: 512,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,739.76 : 591,584.76 = 341,901.84 : x
  2. Step 2: Convert to fraction form
    394,739.76/591,584.76 = 341,901.84/x
  3. Step 3: Cross multiply
    394,739.76x = 591,584.76 × 341,901.84
  4. Step 4: Simplify right side
    394,739.76x = 202,263,917,959.96
  5. Step 5: Solve for x
    x = 202,263,917,959.96/394,739.76
  6. Step 6: Final answer
    x = 512,398.14

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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.