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Finding the Fourth Proportional to 518,649, 715,735.62 and 280,185

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Solution

The fourth proportional to 518,649, 715,735.62 and 280,185 is: 386,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,649 : 715,735.62 = 280,185 : x
  2. Step 2: Convert to fraction form
    518,649/715,735.62 = 280,185/x
  3. Step 3: Cross multiply
    518,649x = 715,735.62 × 280,185
  4. Step 4: Simplify right side
    518,649x = 200,538,384,689.70
  5. Step 5: Solve for x
    x = 200,538,384,689.70/518,649
  6. Step 6: Final answer
    x = 386,655.30

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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.