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Finding the Fourth Proportional to 394,409.72, 591,614.59 and 360,195.32

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Solution

The fourth proportional to 394,409.72, 591,614.59 and 360,195.32 is: 540,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,409.72 : 591,614.59 = 360,195.32 : x
  2. Step 2: Convert to fraction form
    394,409.72/591,614.59 = 360,195.32/x
  3. Step 3: Cross multiply
    394,409.72x = 591,614.59 × 360,195.32
  4. Step 4: Simplify right side
    394,409.72x = 213,096,806,561.72
  5. Step 5: Solve for x
    x = 213,096,806,561.72/394,409.72
  6. Step 6: Final answer
    x = 540,292.99

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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.