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Finding the Fourth Proportional to 386,640.81, 580,385.43 and 307,189.44

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Solution

The fourth proportional to 386,640.81, 580,385.43 and 307,189.44 is: 461,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,640.81 : 580,385.43 = 307,189.44 : x
  2. Step 2: Convert to fraction form
    386,640.81/580,385.43 = 307,189.44/x
  3. Step 3: Cross multiply
    386,640.81x = 580,385.43 × 307,189.44
  4. Step 4: Simplify right side
    386,640.81x = 178,288,275,225.86
  5. Step 5: Solve for x
    x = 178,288,275,225.86/386,640.81
  6. Step 6: Final answer
    x = 461,121.20

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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.