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Finding the Fourth Proportional to 392,917.96, 542,132.22 and 229,481.80

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Solution

The fourth proportional to 392,917.96, 542,132.22 and 229,481.80 is: 316,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,917.96 : 542,132.22 = 229,481.80 : x
  2. Step 2: Convert to fraction form
    392,917.96/542,132.22 = 229,481.80/x
  3. Step 3: Cross multiply
    392,917.96x = 542,132.22 × 229,481.80
  4. Step 4: Simplify right side
    392,917.96x = 124,409,477,683.60
  5. Step 5: Solve for x
    x = 124,409,477,683.60/392,917.96
  6. Step 6: Final answer
    x = 316,629.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.