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Finding the Fourth Proportional to 431,462.68, 647,485.62 and 150,982.36

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Solution

The fourth proportional to 431,462.68, 647,485.62 and 150,982.36 is: 226,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,462.68 : 647,485.62 = 150,982.36 : x
  2. Step 2: Convert to fraction form
    431,462.68/647,485.62 = 150,982.36/x
  3. Step 3: Cross multiply
    431,462.68x = 647,485.62 × 150,982.36
  4. Step 4: Simplify right side
    431,462.68x = 97,758,906,973.66
  5. Step 5: Solve for x
    x = 97,758,906,973.66/431,462.68
  6. Step 6: Final answer
    x = 226,575.58

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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.