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Finding the Fourth Proportional to 503,056.25, 693,988.62 and 298,991.21

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Solution

The fourth proportional to 503,056.25, 693,988.62 and 298,991.21 is: 412,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,056.25 : 693,988.62 = 298,991.21 : x
  2. Step 2: Convert to fraction form
    503,056.25/693,988.62 = 298,991.21/x
  3. Step 3: Cross multiply
    503,056.25x = 693,988.62 × 298,991.21
  4. Step 4: Simplify right side
    503,056.25x = 207,496,493,750.09
  5. Step 5: Solve for x
    x = 207,496,493,750.09/503,056.25
  6. Step 6: Final answer
    x = 412,471.76

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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.