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Finding the Fourth Proportional to 299,651, 413,519.78 and 163,686.83

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Solution

The fourth proportional to 299,651, 413,519.78 and 163,686.83 is: 225,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,651 : 413,519.78 = 163,686.83 : x
  2. Step 2: Convert to fraction form
    299,651/413,519.78 = 163,686.83/x
  3. Step 3: Cross multiply
    299,651x = 413,519.78 × 163,686.83
  4. Step 4: Simplify right side
    299,651x = 67,687,741,930.50
  5. Step 5: Solve for x
    x = 67,687,741,930.50/299,651
  6. Step 6: Final answer
    x = 225,888.59

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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.