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Finding the Fourth Proportional to 412,040.52, 618,012.18 and 108,465.48

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Solution

The fourth proportional to 412,040.52, 618,012.18 and 108,465.48 is: 162,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,040.52 : 618,012.18 = 108,465.48 : x
  2. Step 2: Convert to fraction form
    412,040.52/618,012.18 = 108,465.48/x
  3. Step 3: Cross multiply
    412,040.52x = 618,012.18 × 108,465.48
  4. Step 4: Simplify right side
    412,040.52x = 67,032,987,749.55
  5. Step 5: Solve for x
    x = 67,032,987,749.55/412,040.52
  6. Step 6: Final answer
    x = 162,685.43

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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.