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Finding the Fourth Proportional to 431,471.18, 647,300.21 and 165,231.72

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Solution

The fourth proportional to 431,471.18, 647,300.21 and 165,231.72 is: 247,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,471.18 : 647,300.21 = 165,231.72 : x
  2. Step 2: Convert to fraction form
    431,471.18/647,300.21 = 165,231.72/x
  3. Step 3: Cross multiply
    431,471.18x = 647,300.21 × 165,231.72
  4. Step 4: Simplify right side
    431,471.18x = 106,954,528,978.46
  5. Step 5: Solve for x
    x = 106,954,528,978.46/431,471.18
  6. Step 6: Final answer
    x = 247,883.37

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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.