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Finding the Fourth Proportional to 518,530, 715,571.88 and 280,066

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Solution

The fourth proportional to 518,530, 715,571.88 and 280,066 is: 386,491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,530 : 715,571.88 = 280,066 : x
  2. Step 2: Convert to fraction form
    518,530/715,571.88 = 280,066/x
  3. Step 3: Cross multiply
    518,530x = 715,571.88 × 280,066
  4. Step 4: Simplify right side
    518,530x = 200,407,354,144.08
  5. Step 5: Solve for x
    x = 200,407,354,144.08/518,530
  6. Step 6: Final answer
    x = 386,491.34

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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.