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Finding the Fourth Proportional to 431,761.57, 647,643.56 and 165,603.67

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Solution

The fourth proportional to 431,761.57, 647,643.56 and 165,603.67 is: 248,405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,761.57 : 647,643.56 = 165,603.67 : x
  2. Step 2: Convert to fraction form
    431,761.57/647,643.56 = 165,603.67/x
  3. Step 3: Cross multiply
    431,761.57x = 647,643.56 × 165,603.67
  4. Step 4: Simplify right side
    431,761.57x = 107,252,150,387.87
  5. Step 5: Solve for x
    x = 107,252,150,387.87/431,761.57
  6. Step 6: Final answer
    x = 248,405.97

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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.