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Finding the Fourth Proportional to 431,685.25, 647,158.59 and 165,636.70

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Solution

The fourth proportional to 431,685.25, 647,158.59 and 165,636.70 is: 248,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,685.25 : 647,158.59 = 165,636.70 : x
  2. Step 2: Convert to fraction form
    431,685.25/647,158.59 = 165,636.70/x
  3. Step 3: Cross multiply
    431,685.25x = 647,158.59 × 165,636.70
  4. Step 4: Simplify right side
    431,685.25x = 107,193,213,224.25
  5. Step 5: Solve for x
    x = 107,193,213,224.25/431,685.25
  6. Step 6: Final answer
    x = 248,313.36

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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.