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Finding the Fourth Proportional to 397,906.93, 547,895.49 and 299,932.51

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Solution

The fourth proportional to 397,906.93, 547,895.49 and 299,932.51 is: 412,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,906.93 : 547,895.49 = 299,932.51 : x
  2. Step 2: Convert to fraction form
    397,906.93/547,895.49 = 299,932.51/x
  3. Step 3: Cross multiply
    397,906.93x = 547,895.49 × 299,932.51
  4. Step 4: Simplify right side
    397,906.93x = 164,331,669,533.38
  5. Step 5: Solve for x
    x = 164,331,669,533.38/397,906.93
  6. Step 6: Final answer
    x = 412,990.22

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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.