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Finding the Fourth Proportional to 513,685.24, 708,847.14 and 287,287

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Solution

The fourth proportional to 513,685.24, 708,847.14 and 287,287 is: 396,434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,685.24 : 708,847.14 = 287,287 : x
  2. Step 2: Convert to fraction form
    513,685.24/708,847.14 = 287,287/x
  3. Step 3: Cross multiply
    513,685.24x = 708,847.14 × 287,287
  4. Step 4: Simplify right side
    513,685.24x = 203,642,568,309.18
  5. Step 5: Solve for x
    x = 203,642,568,309.18/513,685.24
  6. Step 6: Final answer
    x = 396,434.53

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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.