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Finding the Fourth Proportional to 516,829.92, 713,138.40 and 287,380.64

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Solution

The fourth proportional to 516,829.92, 713,138.40 and 287,380.64 is: 396,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,829.92 : 713,138.40 = 287,380.64 : x
  2. Step 2: Convert to fraction form
    516,829.92/713,138.40 = 287,380.64/x
  3. Step 3: Cross multiply
    516,829.92x = 713,138.40 × 287,380.64
  4. Step 4: Simplify right side
    516,829.92x = 204,942,169,800.58
  5. Step 5: Solve for x
    x = 204,942,169,800.58/516,829.92
  6. Step 6: Final answer
    x = 396,536.97

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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.