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Finding the Fourth Proportional to 394,407.10, 591,610.65 and 360,192.70

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Solution

The fourth proportional to 394,407.10, 591,610.65 and 360,192.70 is: 540,289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,407.10 : 591,610.65 = 360,192.70 : x
  2. Step 2: Convert to fraction form
    394,407.10/591,610.65 = 360,192.70/x
  3. Step 3: Cross multiply
    394,407.10x = 591,610.65 × 360,192.70
  4. Step 4: Simplify right side
    394,407.10x = 213,093,832,613.24
  5. Step 5: Solve for x
    x = 213,093,832,613.24/394,407.10
  6. Step 6: Final answer
    x = 540,289.04

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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.