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Finding the Fourth Proportional to 413,995.22, 620,930.44 and 265,274.78

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Solution

The fourth proportional to 413,995.22, 620,930.44 and 265,274.78 is: 397,872.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,995.22 : 620,930.44 = 265,274.78 : x
  2. Step 2: Convert to fraction form
    413,995.22/620,930.44 = 265,274.78/x
  3. Step 3: Cross multiply
    413,995.22x = 620,930.44 × 265,274.78
  4. Step 4: Simplify right side
    413,995.22x = 164,717,183,093.25
  5. Step 5: Solve for x
    x = 164,717,183,093.25/413,995.22
  6. Step 6: Final answer
    x = 397,872.19

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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.