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Finding the Fourth Proportional to 412,523.80, 618,845.04 and 156,450.64

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Solution

The fourth proportional to 412,523.80, 618,845.04 and 156,450.64 is: 234,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,523.80 : 618,845.04 = 156,450.64 : x
  2. Step 2: Convert to fraction form
    412,523.80/618,845.04 = 156,450.64/x
  3. Step 3: Cross multiply
    412,523.80x = 618,845.04 × 156,450.64
  4. Step 4: Simplify right side
    412,523.80x = 96,818,702,568.83
  5. Step 5: Solve for x
    x = 96,818,702,568.83/412,523.80
  6. Step 6: Final answer
    x = 234,698.46

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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.