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Finding the Fourth Proportional to 513,581.04, 708,741.36 and 287,226

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Solution

The fourth proportional to 513,581.04, 708,741.36 and 287,226 is: 396,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,581.04 : 708,741.36 = 287,226 : x
  2. Step 2: Convert to fraction form
    513,581.04/708,741.36 = 287,226/x
  3. Step 3: Cross multiply
    513,581.04x = 708,741.36 × 287,226
  4. Step 4: Simplify right side
    513,581.04x = 203,568,945,867.36
  5. Step 5: Solve for x
    x = 203,568,945,867.36/513,581.04
  6. Step 6: Final answer
    x = 396,371.61

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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.