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Finding the Fourth Proportional to 513,568.36, 708,723.80 and 287,213.86

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Solution

The fourth proportional to 513,568.36, 708,723.80 and 287,213.86 is: 396,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,568.36 : 708,723.80 = 287,213.86 : x
  2. Step 2: Convert to fraction form
    513,568.36/708,723.80 = 287,213.86/x
  3. Step 3: Cross multiply
    513,568.36x = 708,723.80 × 287,213.86
  4. Step 4: Simplify right side
    513,568.36x = 203,555,295,063.99
  5. Step 5: Solve for x
    x = 203,555,295,063.99/513,568.36
  6. Step 6: Final answer
    x = 396,354.82

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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.