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Finding the Fourth Proportional to 394,038.60, 591,229.65 and 138,054.81

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Solution

The fourth proportional to 394,038.60, 591,229.65 and 138,054.81 is: 207,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,038.60 : 591,229.65 = 138,054.81 : x
  2. Step 2: Convert to fraction form
    394,038.60/591,229.65 = 138,054.81/x
  3. Step 3: Cross multiply
    394,038.60x = 591,229.65 × 138,054.81
  4. Step 4: Simplify right side
    394,038.60x = 81,622,096,997.12
  5. Step 5: Solve for x
    x = 81,622,096,997.12/394,038.60
  6. Step 6: Final answer
    x = 207,142.39

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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.