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Finding the Fourth Proportional to 503,268, 694,280.99 and 299,203.13

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Solution

The fourth proportional to 503,268, 694,280.99 and 299,203.13 is: 412,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,268 : 694,280.99 = 299,203.13 : x
  2. Step 2: Convert to fraction form
    503,268/694,280.99 = 299,203.13/x
  3. Step 3: Cross multiply
    503,268x = 694,280.99 × 299,203.13
  4. Step 4: Simplify right side
    503,268x = 207,731,040,340.08
  5. Step 5: Solve for x
    x = 207,731,040,340.08/503,268
  6. Step 6: Final answer
    x = 412,764.25

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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.