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Finding the Fourth Proportional to 412,215.58, 618,324.74 and 145,983.87

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Solution

The fourth proportional to 412,215.58, 618,324.74 and 145,983.87 is: 218,976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,215.58 : 618,324.74 = 145,983.87 : x
  2. Step 2: Convert to fraction form
    412,215.58/618,324.74 = 145,983.87/x
  3. Step 3: Cross multiply
    412,215.58x = 618,324.74 × 145,983.87
  4. Step 4: Simplify right side
    412,215.58x = 90,265,438,279.46
  5. Step 5: Solve for x
    x = 90,265,438,279.46/412,215.58
  6. Step 6: Final answer
    x = 218,976.29

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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.