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Finding the Fourth Proportional to 431,864.32, 647,889.30 and 132,365.56

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Solution

The fourth proportional to 431,864.32, 647,889.30 and 132,365.56 is: 198,576.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,864.32 : 647,889.30 = 132,365.56 : x
  2. Step 2: Convert to fraction form
    431,864.32/647,889.30 = 132,365.56/x
  3. Step 3: Cross multiply
    431,864.32x = 647,889.30 × 132,365.56
  4. Step 4: Simplify right side
    431,864.32x = 85,758,230,012.51
  5. Step 5: Solve for x
    x = 85,758,230,012.51/431,864.32
  6. Step 6: Final answer
    x = 198,576.79

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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.