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Finding the Fourth Proportional to 431,353.72, 647,118.06 and 151,067.80

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Solution

The fourth proportional to 431,353.72, 647,118.06 and 151,067.80 is: 226,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,353.72 : 647,118.06 = 151,067.80 : x
  2. Step 2: Convert to fraction form
    431,353.72/647,118.06 = 151,067.80/x
  3. Step 3: Cross multiply
    431,353.72x = 647,118.06 × 151,067.80
  4. Step 4: Simplify right side
    431,353.72x = 97,758,701,664.47
  5. Step 5: Solve for x
    x = 97,758,701,664.47/431,353.72
  6. Step 6: Final answer
    x = 226,632.34

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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.