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Finding the Fourth Proportional to 518,476.74, 715,540.50 and 285,949.16

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Solution

The fourth proportional to 518,476.74, 715,540.50 and 285,949.16 is: 394,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,476.74 : 715,540.50 = 285,949.16 : x
  2. Step 2: Convert to fraction form
    518,476.74/715,540.50 = 285,949.16/x
  3. Step 3: Cross multiply
    518,476.74x = 715,540.50 × 285,949.16
  4. Step 4: Simplify right side
    518,476.74x = 204,608,201,343.28
  5. Step 5: Solve for x
    x = 204,608,201,343.28/518,476.74
  6. Step 6: Final answer
    x = 394,633.33

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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.