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Finding the Fourth Proportional to 431,464.44, 647,290.07 and 165,224.96

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Solution

The fourth proportional to 431,464.44, 647,290.07 and 165,224.96 is: 247,873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,464.44 : 647,290.07 = 165,224.96 : x
  2. Step 2: Convert to fraction form
    431,464.44/647,290.07 = 165,224.96/x
  3. Step 3: Cross multiply
    431,464.44x = 647,290.07 × 165,224.96
  4. Step 4: Simplify right side
    431,464.44x = 106,948,478,549.51
  5. Step 5: Solve for x
    x = 106,948,478,549.51/431,464.44
  6. Step 6: Final answer
    x = 247,873.22

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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.