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Finding the Fourth Proportional to 518,934.86, 716,129.79 and 280,470.86

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Solution

The fourth proportional to 518,934.86, 716,129.79 and 280,470.86 is: 387,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,934.86 : 716,129.79 = 280,470.86 : x
  2. Step 2: Convert to fraction form
    518,934.86/716,129.79 = 280,470.86/x
  3. Step 3: Cross multiply
    518,934.86x = 716,129.79 × 280,470.86
  4. Step 4: Simplify right side
    518,934.86x = 200,853,538,072.92
  5. Step 5: Solve for x
    x = 200,853,538,072.92/518,934.86
  6. Step 6: Final answer
    x = 387,049.62

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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.