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Finding the Fourth Proportional to 397,035, 547,908.30 and 218,187

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Solution

The fourth proportional to 397,035, 547,908.30 and 218,187 is: 301,098.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,035 : 547,908.30 = 218,187 : x
  2. Step 2: Convert to fraction form
    397,035/547,908.30 = 218,187/x
  3. Step 3: Cross multiply
    397,035x = 547,908.30 × 218,187
  4. Step 4: Simplify right side
    397,035x = 119,546,468,252.10
  5. Step 5: Solve for x
    x = 119,546,468,252.10/397,035
  6. Step 6: Final answer
    x = 301,098.06

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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.