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Finding the Fourth Proportional to 412,285.96, 618,447.57 and 112,759.84

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Solution

The fourth proportional to 412,285.96, 618,447.57 and 112,759.84 is: 169,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,285.96 : 618,447.57 = 112,759.84 : x
  2. Step 2: Convert to fraction form
    412,285.96/618,447.57 = 112,759.84/x
  3. Step 3: Cross multiply
    412,285.96x = 618,447.57 × 112,759.84
  4. Step 4: Simplify right side
    412,285.96x = 69,736,049,041.59
  5. Step 5: Solve for x
    x = 69,736,049,041.59/412,285.96
  6. Step 6: Final answer
    x = 169,144.86

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1.5x scale

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.