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Finding the Fourth Proportional to 397,891.47, 596,843.40 and 221,519.51

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Solution

The fourth proportional to 397,891.47, 596,843.40 and 221,519.51 is: 332,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,891.47 : 596,843.40 = 221,519.51 : x
  2. Step 2: Convert to fraction form
    397,891.47/596,843.40 = 221,519.51/x
  3. Step 3: Cross multiply
    397,891.47x = 596,843.40 × 221,519.51
  4. Step 4: Simplify right side
    397,891.47x = 132,212,457,599.38
  5. Step 5: Solve for x
    x = 132,212,457,599.38/397,891.47
  6. Step 6: Final answer
    x = 332,282.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.