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Finding the Fourth Proportional to 431,721.87, 647,213.54 and 165,673.32

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Solution

The fourth proportional to 431,721.87, 647,213.54 and 165,673.32 is: 248,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,721.87 : 647,213.54 = 165,673.32 : x
  2. Step 2: Convert to fraction form
    431,721.87/647,213.54 = 165,673.32/x
  3. Step 3: Cross multiply
    431,721.87x = 647,213.54 × 165,673.32
  4. Step 4: Simplify right side
    431,721.87x = 107,226,015,092.39
  5. Step 5: Solve for x
    x = 107,226,015,092.39/431,721.87
  6. Step 6: Final answer
    x = 248,368.27

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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.