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Finding the Fourth Proportional to 394,343.68, 591,749.76 and 145,200.64

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Solution

The fourth proportional to 394,343.68, 591,749.76 and 145,200.64 is: 217,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,343.68 : 591,749.76 = 145,200.64 : x
  2. Step 2: Convert to fraction form
    394,343.68/591,749.76 = 145,200.64/x
  3. Step 3: Cross multiply
    394,343.68x = 591,749.76 × 145,200.64
  4. Step 4: Simplify right side
    394,343.68x = 85,922,443,871.85
  5. Step 5: Solve for x
    x = 85,922,443,871.85/394,343.68
  6. Step 6: Final answer
    x = 217,887.21

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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.