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Finding the Fourth Proportional to 412,826.40, 618,656.40 and 305,371.80

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Solution

The fourth proportional to 412,826.40, 618,656.40 and 305,371.80 is: 457,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,826.40 : 618,656.40 = 305,371.80 : x
  2. Step 2: Convert to fraction form
    412,826.40/618,656.40 = 305,371.80/x
  3. Step 3: Cross multiply
    412,826.40x = 618,656.40 × 305,371.80
  4. Step 4: Simplify right side
    412,826.40x = 188,920,218,449.52
  5. Step 5: Solve for x
    x = 188,920,218,449.52/412,826.40
  6. Step 6: Final answer
    x = 457,626.30

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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.