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Finding the Fourth Proportional to 412,375.20, 618,368.67 and 159,774

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Solution

The fourth proportional to 412,375.20, 618,368.67 and 159,774 is: 239,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,375.20 : 618,368.67 = 159,774 : x
  2. Step 2: Convert to fraction form
    412,375.20/618,368.67 = 159,774/x
  3. Step 3: Cross multiply
    412,375.20x = 618,368.67 × 159,774
  4. Step 4: Simplify right side
    412,375.20x = 98,799,235,880.58
  5. Step 5: Solve for x
    x = 98,799,235,880.58/412,375.20
  6. Step 6: Final answer
    x = 239,585.78

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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.