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Finding the Fourth Proportional to 503,057.59, 693,990.48 and 298,992.55

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Solution

The fourth proportional to 503,057.59, 693,990.48 and 298,992.55 is: 412,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,057.59 : 693,990.48 = 298,992.55 : x
  2. Step 2: Convert to fraction form
    503,057.59/693,990.48 = 298,992.55/x
  3. Step 3: Cross multiply
    503,057.59x = 693,990.48 × 298,992.55
  4. Step 4: Simplify right side
    503,057.59x = 207,497,979,820.97
  5. Step 5: Solve for x
    x = 207,497,979,820.97/503,057.59
  6. Step 6: Final answer
    x = 412,473.61

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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.