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Finding the Fourth Proportional to 397,021.99, 547,891.05 and 215,736.10

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Solution

The fourth proportional to 397,021.99, 547,891.05 and 215,736.10 is: 297,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,021.99 : 547,891.05 = 215,736.10 : x
  2. Step 2: Convert to fraction form
    397,021.99/547,891.05 = 215,736.10/x
  3. Step 3: Cross multiply
    397,021.99x = 547,891.05 × 215,736.10
  4. Step 4: Simplify right side
    397,021.99x = 118,199,878,351.91
  5. Step 5: Solve for x
    x = 118,199,878,351.91/397,021.99
  6. Step 6: Final answer
    x = 297,716.20

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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.