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Finding the Fourth Proportional to 518,595, 715,661.10 and 280,131

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Solution

The fourth proportional to 518,595, 715,661.10 and 280,131 is: 386,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,595 : 715,661.10 = 280,131 : x
  2. Step 2: Convert to fraction form
    518,595/715,661.10 = 280,131/x
  3. Step 3: Cross multiply
    518,595x = 715,661.10 × 280,131
  4. Step 4: Simplify right side
    518,595x = 200,478,859,604.10
  5. Step 5: Solve for x
    x = 200,478,859,604.10/518,595
  6. Step 6: Final answer
    x = 386,580.78

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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.